[1] R. Abraham, and J. Marsden. Foundations of Mechanics. Benjamin Cummings, 2nd Ed., Massachusetts, 1978.
[2] H. Abou-Kandil, G. Frieling, and G. Jank, “Solutions and asymptotic behavior of coupled Riccati equations in jump linear systems,” IEEE Transactions on Automatic Control, vol. 39, no. 8, pp. 1631-1636, 1994.
[3] M. Adler and P. van Moerbeke, “Completely integrable systems, Euclidean lie algebras, and curves,” Advances in Math., 38, 267-317, 1980.
[4] M. Adler and P. van Moerbeke, “Linearization of Hamiltonian systems, Jacobi varieties, and representation theory,” Advances in Math., 38, 318-379, 1980.
[5] M. Adler and P. van Moerbeke, “The Toda lattice, Dynkin diagrams, singularities, and Abelian varieties,” Inventiones in Math., 103, 223-278, 1991.
[6] M. D. S. Aliyu, “Robust H∞-control of nonlinear systems under matching,” in Proceedings, Conference on Decision and Control, Tampa, Florida, 1998.
[7] M. D. S. Aliyu, “Minimax guaranteed cost control of nonlinear systems,” Int. J. of Control, vol. 73, no. 16, pp. 1491-1499, 2000.
[8] M. D. S. Aliyu, “Dissipativity and stability of nonlinear jump systems,” in Proceedings, American Control Conference, June 2-4, San Diego, 1999.
[9] M. D. S. Aliyu, “Passivity and stability of nonlinear systems with Markovian jump parameters,” in Proceeding, American Control Conference, 2-4 June, 1999.
[10] M. D. S. Aliyu, “An approach for solving the Hamilton-Jacobi-Isaac equations arising in nonlinear H∞-control,” Automatica, vol. 39, no. 5, pp. 877-884, 2003.
[11] M. D. S. Aliyu, “A transformation approach for solving the Hamilton-Jacobi-Bellman equations in deterministic and stochastic nonlinear control,” Automatica, vol. 39, no. 5, 2003.
[12] M. D. S. Aliyu and E. K. Boukas, “H∞-control for Markovian jump nonlinear systems,” in Proceeding, 37th IEEE Conference on Decision and Control, Florida, USA, 1998.
[13] M. D. S. Aliyu and E. K. Boukas, “Finite and infinite-horizon H∞-control for nonlinear stochastic systems,” IMA J. of Mathematical Control and Information, vol. 17, no. 3, pp. 265-279, 2000.
[14] M. D. S. Aliyu and E. K. Boukas, “Robust H∞-control of nonlinear systems with Markovian jumps,” IMA J. of Mathematical Control and Information, vol. 17, no. 3, pp. 295-303, 2000.
[15] M. D. S. Aliyu and J. Luttamaguzi, “On the bounded-real and positive-real conditions for affine nonlinear state-delayed systems,” Automatica, vol. 42, no. 2, pp. 357-362, 2006.
[16] M. D. S. Aliyu and L. Smolinsky, “A parametrization approach for solving the Hamilton-Jacobi-equation and application to the A2-Toda lattice,” J. of Nonlinear Dynamics and Systems Theory, vol. 5, no. 4, pp. 323-344, 2005.
[17] M. D. S. Aliyu, “On discrete-time H∞ nonlinear filtering and approximate solution,” Personal Communication.
[18] M. D. S. Aliyu and E. K. Boukas, “Mixed H2/H∞ nonlinear filtering,” in Proceedings, European Control Conference, Kos, Greece, 2007.
[19] M. D. S. Aliyu and E. K. Boukas, “Mixed H2/H∞ nonlinear filtering,” Int. J. of Robust and Nonlinear Control, vol. 19, no. 4, pp. 394-417, 2009.
[20] M. D. S. Aliyu and E. K. Boukas, “Discrete-time mixed H2/H∞ nonlinear filtering,” in Proceedings, American Control Conference, Seattle WA, USA, 2008.
[21] M. D. S. Aliyu and E. K. Boukas, “Discrete-time mixed H2/H∞ nonlinear filtering”, To appear in Int. J. of Robust and Nonlinear Control, (published online, 26 AUG 2010, DOI: 10.1002/rnc.1643).
[22] M. D. S. Aliyu and J. Luttamaguzi, “3-DOF nonlinear H∞-estimators,” Int. J. of Control, vol. 83, no. 6, 1136-1144, 2010.
[23] M. D. S. Aliyu and E. K. Boukas, “2-DOF-PD discrete-time nonlinear H∞ filtering,” Int. J. of Robust and Nonlinear Control, vol. 20, no. 7, pp. 818-833, 2010.
[24] M. D. S. Aliyu, E. K. Boukas, and Y. Chinniah, “Discrete-time PI-nonlinear H∞ estimators,” IEEE Transactions on Automatic Control, vol. 55, no. 3, pp. 784-790, 2010.
[25] M. D. S. Aliyu and E. K. Boukas, “Kalman filtering for singularly-perturbed nonlinear systems,” Submitted to IET Control Theory and Applications.
[26] M. D. S. Aliyu and E. K. Boukas, “H∞ estimation for nonlinear singularly perturbed systems,” To appear in Int. J. of Robust and Nonlinear Control, (published online, 5 MAY 2010, DOI: 10.1002/rnc.1593).
[27] M. D. S. Aliyu and J. Luttamaguzi, “A note on static output-feedback for affine nonlinear systems,” Asian J. of Control, vol. 13, no. 2, pp. 1-7, 2010.
[28] M. D. S. Aliyu, “2-DOF nonlinear H∞ certainty equivalent filters,” Accepted in Optimal Control Applications and Methods.
[29] W. F. Ames. Nonlinear Partial-Differential Equations in Engineering, Vols. I, II, Mathematics in Engineering and Science Series, Academic Press, New York, 1972.
[30] B. D. O. Anderson and S. Vongtpanitlerd. Network Analysis and Synthesis: A Modern Systems Theory Approach. Prentice-Hall, Englewood Cliffs, New Jersey, 1973.
[31] B. D. O. Anderson, “A systems theory criterion for positive-real matrices,” SIAM J. on Control, vol. 5, pp. 171-182, 1967.
[32] B. D. O. Anderson and J. B. Moore, “An algebraic structure of generalized positive real matrices,” SIAM J. on Control, vol. 6, no. 4, pp. 615-621, 1968.
[33] B. D. O. Anderson and J. B. Moore. Optimal Control: Linear Quadratic Methods. 2nd Ed., Prentice Hall, Englewood Cliffs, New Jersey, 1986.
[34] B. D. O. Anderson, M. R. James and D. J. N. Limebeer, “Robust stabilization of nonlinear systems via normalized coprime factor representations,” Automatica, vol. 34, no. 12, pp. 1593-1599, 1998.
[35] B. D. O. Anderson and J. B. Moore. Optimal Filtering. Prentice Hall, Englewood Cliffs, New Jersey, 1979.
[36] I. Arasaratnam, S. Haykin and R. J. Elliot, “Discrete-time nonlinear filtering algorithms using Gauss-Hermite quadrature”, in Proceeding of IEEE, vol. 95, no. 5, 2007.
[37] L. Arnold. Stochastic Differential Equations: Theory and Applications. John Wiley & Sons, USA 1973.
[38] V. I. Arnold. Mathematical Methods of Classical Mechanics. Springer Verlag, New York, 1985.
[39] W. Assawinchaichote, S. K. Nguang and P. Shi, “H∞ Output-feedback control design for nonlinear singularly-perturbed systems: an LMI approach,” Automatica. Vol. 40, no. 12. 2147-2152, 2004.
[40] W. Assawinchaichote and S. K. Nguang, “H∞ filtering for fuzzy nonlinear singularly-perturbed systems with pole placement constraints: an LMI approach,” IEEE Transactions on Signal Processing, vol. 52, pp. 1659-1667, 2004.
[41] W. Assawinchaichote and S. K. Nguang, “Robust H∞ fuzzy filter design for uncertain nonlinear singularly-perturbed systems with Markovian jumps: an LMI approach,” J. of Information Sciences, vol. 177, pp. 1699-1714, 2007.
[42] A. Astolfi, “Singular H∞-control for nonlinear systems,” Int. J. of Robust and Nonlinear Control, vol. 7, pp. 727-740, 1997.
[43] A. Astolfi, “On the relation between state feedback and full-information regulators in singular nonlinear H∞-control,” IEEE Transactions on Automatic Control, vol. 42, no. 7, pp. 984-988, 1997.
[44] A. Astolfi, “Parametrization of output-feedback controllers that satisfy an H∞ bound,” in Proceedings, 2nd European Control Conference, Groningen, The Netherlands, pp. 74-77, 1993.
[45] A. Astolfi and P. Colaneri, “A Hamilton-Jacobi setup for the static output-feedback stabilization of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 47, no. 12, pp. 2038-2041, 2002.
[46] A. Astolfi and A. Rapaport, “Robust stabilization of the angular momentum of a rigid body,” Systems and Control Letters, vol. 34, pp. 257-264, 1998.
[47] M. Athans and P. L. Falb. Optimal Control Theory: An Introduction. McGraw-Hill, NY, 1966.
[48] A. Bagchi. Optimal Control of Stochastic Systems. Prentice Hall, UK, 1993.
[49] J. A. Ball, “Inner-outer factorization of nonlinear operators,” J. of Functional Analysis, vol. 104, pp. 363-413, 1992.
[50] J. A. Ball, P. Kachroo, and A. J. Krener, “H∞ tracking control for a class of nonlinear systems”, IEEE Transactions on Automatic Control, vol. 44, no. 6, pp. 1202-1207, 1999.
[51] J. A. Ball and J. W. Helton, “Nonlinear H∞ control theory for stable plants,” Mathematics of Control, Signals, and Systems, vol. 5, pp. 233-261, 1992.
[52] J. A. Ball and J. W. Helton, “Factorization of nonlinear systems: towards a theory for nonlinear H∞ control,” Proceedings IEEE Conference on Decision and Control, Austin, TX, pp. 2376-2381, 1988.
[53] J. A. Ball, J. W. Helton and M. L. Walker, “H∞-control for nonlinear systems via output feedback,” IEEE Transactions on Automatic Control, vol. 38, pp. 546-559, 1993.
[54] J. A. Ball and A. J. van der Schaft, “J-Inner-outer factorization, j-spectral factorization and robust control for nonlinear systems,” IEEE Transactions Automatic Control, vol. 41, no. 3, pp. 379-392, 1996.
[55] L. Baramov and H. Kimura, “Nonlinear local J-lossless conjugation and factorization,” Int. J. of Robust and Nonlinear Control, vol. 6, pp. 869-893, 1996.
[56] M. Bardi and I. Capuzzo-Dolcetta. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Systems and Control Foundations, Birkhauser, Boston, 1997.
[57] T. Basar and P. Bernhard. H∞-Optimal Control and Related Minimax Design Problems. Systems and Control Foundations and Applications, 2nd Ed., Birkhauser, Boston, 1995.
[58] T. Basar and P. Bernhard. H∞ Optimal Control and Related Minimax Design. Birkhauser, New York, 1991.
[59] T. Basar and G. J. Olsder. Dynamic Noncooperative Game Theory. Mathematics in Science and Engineering, vol. 160, 1st Ed., Academic Press, UK, 1982.
[60] V. Barbu and G. Prata Da. Hamilton-Jacobi Equations in Hilbert Space. Pitman Advanced Publishing Program, London, 1983.
[61] S. Battilotti, “Robust stabilization of nonlinear systems with pointwise norm-bounded uncertainties: A control Lyapunov function approach,” IEEE Transactions Automatic Control, vol. 44, no. 1, pp. 3-17, 1999.
[62] S. Battilotti, “Global output regulation and disturbance-attenuation with global stability via measurement feedback for a class of nonlinear systems,” IEEE Transactions on Automatic control, vol. 41, no. 3, pp. 315-327, 1996.
[63] R. W. Beard, G. N. Saridas and J. T. Wen, “Galerkin approximations of the generalized HJB equation,” Automatica, vol. 33, no. 12, pp. 2159-2177, 1997.
[64] R. Bellman. Dynamic Programming. Princeton University Press, Princeton, New Jersey, 1957.
[65] S. H. Benton. The Hamilton-Jacobi Equation: A Global Approach. Academic Press, New York, 1977.
[66] N. Berman and U. Shaked, “H∞ nonlinear filtering”, Int. J. of Robust and Nonlinear Control, vol. 6, pp. 281-296, 1996.
[67] D. S. Bernstein and W. H. Haddad, “LQG control with H∞ performance bound,” IEEE Transactions on Automatic control, vol. 34, no. 3, pp. 293-305, 1997.
[68] S. Bittanti, A. J. Laub and J. C. Willems. The Riccati Equation. Springer-Verlag, Germany, 1991.
[69] S. Boyd, L. El-Ghaoui, E. Feron and V. Balakrishnan. Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia, 1994.
[70] R. S. Bucy, “Linear and nonlinear filtering,” IEEE Proceedings, vol. 58, no. 6, pp. 854-864, 1970.
[71] R. T. Bupp, D. S. Bernstein and V. T. Coppola, “A benchmark problem for nonlinear control design,” Int. J. of Robust and Nonlinear Control, vol. 8, pp. 307-310, 1998.
[72] O. I. Bogoyavlensky, “On pertubation of the periodic Toda lattice,” Communications in Mathematical Physics, 51, pp. 201-209, 1976.
[73] A. E. Bryson and Y. C. Ho. Applied Optimal Control. Halsted Press, John Wiley & Sons, New York, 1975.
[74] C. I. Byrnes and W. Lin, “Losslessness, feedback equivalence, and global stabilization of discrete-time nonlinear systems,” IEEE Transactions on Automatic Control, vol. 39, no. 1, pp. 83-97, 1994.
[75] C. I. Byrnes and W. Lin, “Discrete-time lossless systems, feedback equivalence, and passivity,” Proceedings, IEEE Conference on Decision and Control, pp. 1775-1781, San Antonio, Texas, 1993.
[76] C. I. Byrnes and W. Lin, “On discrete-time nonlinear Control,” Proceedings, IEEE Conf. on Dec. and Control, pp. 2990-2996, San Antonio, Texas, 1993.
[77] C. I. Byrnes, A. Isidori and J. C. Willems, “Passivity, feedback equivalence and global stabilization of minimum phase nonlinear systems,” IEEE Transactions Automatic Control, vol. 36, no. 11, pp. 1228-1240, 1991.
[78] S. S. Chang S. and T. K. C. Peng, “Adaptive guaranteed cost control of systems with uncertain parameters,” IEEE Transactions on Automatic Control, vol. 17, pp. 474-483, 1972.
[79] K. W. Chang, “Singular pertubation of a general boundary-value problem”, SIAM J. Math Anal., vol. 3, pp. 520-526, 1972.
[80] B.-S. Chen and Y.-C. Chang, “Nonlinear mixed H2/H∞ control for robust tracking of robotic systems,” Int. J. Control, vol. 67, no. 6, pp. 837-857, 1998.
[81] X. Chen and K. Zhou, “Multi-objective H2/H∞-control design”, SIAM J. on Control and Optimization, vol. 40, no. 2, pp. 628-660, 2001.
[82] J. H. Chow and P. V. Kokotovic, “A Decomposition of near-optimal regulators for systems with slow and fast modes,” IEEE Trans Autom Control, vol. 21, pp. 701-705, 1976.
[83] F. H. Clarke, Y. S. Ledyaev, R. J. Stern and P. R. Wolenski. Nonsmooth Analysis and Control Theory. Springer Verlag, New York, 1998.
[84] O. L. V. Costa, “Mean-square stabilizing solutions for the discrete-time coupled algebraic Riccati equations,” IEEE Transaction on Automatic Control, vol. 41, no. 4, pp. 593-598, 1996.
[85] D. Cox, J. Little, and D. O’Shea. Ideals, Varieties, and Algorithms. 2nd edition, Springer-Verlag, New York, 1997.
[86] M. Cromme, J. M. Pedersen and M. P. Petersen, “Nonlinear H∞ state feedback controllers: computation of valid region,” Proceedings, American Control Conference, Albuquerque, New Mexico, pp. 391-395, 1997.
[87] M. Dalsmo and O. Egeland, “State feedback H∞-suboptimal control of a rigid spacecraft,” IEEE Transactions on Automatic Control, vol. 42, no. 8, 1997.
[88] M. Dalsmo and W. C. A. Maas, “Singular H∞-suboptimal control for a class of nonlinear cascade systems,” Automatica, vol. 34, no. 12, pp. 1531-1537, 1998.
[89] C. E. De-souza and L. Xie, “On the discrete-time bounded-real lemma with application in the characterization of static state-feedback H∞-controllers,” Systems and Control Letters, vol. 18, pp. 61-71, 1992.
[90] A. S. Debs and M. Athans, “On the optimal angular velocity control of asymmetric vehicles,” IEEE Transactions on Automatic Control, vol. 14, pp. 80-83, 1969.
[91] H. Deng and M. Krstic, “Output-feedback stochastic nonlinear stabilization,” IEEE Transactions on Automatic control, vol. 44, no. 2, pp. 328-333, 1999.
[92] J. C. Doyle, K. Glover, P. Khargonekhar and B. A. Francis, “State-space solutions to standard H2 and H∞-control problems,” IEEE Transactions on Automatic Control, vol. 34, pp. 831-847, 1989.
[93] J. C. Doyle, K. Zhou, K. Glover and B. Bodenheimer, “Mixed H2/H∞ performance objectives II: optimal control,” IEEE Transactions on Automatic Control, vol. 39, no. 8, pp 1575-1587, 1994.
[94] J. Dieudonne. Elements d’Analyse Vol. 1, Foundements de l’Analyse Modern. Gauthier-Villars, Paris, 1972.
[95] L. C. Evans. Partial-Differential Equations. Graduate Text in Maths., AMS, Providence, Rhode Island, 1998.
[96] K. Ezal, Z. Pan and P. V. Kokotovic, “Locally optimal and robust backstepping design”, IEEE Transactions on Automatic Control, vol. 45, no. 2, pp. 260-271, 2000.
[97] I. J. Fialho and T. T. Georgiou, “Worst-case analysis of nonlinear systems”, IEEE Transactions on Automatic Control, vol. 44, no. 6, pp. 1180-1196.
[98] W. H. Fleming and H. M. Soner. Controlled Markov Processes and Viscosity Solutions. Springer Verlag, New York, 1993.
[99] W. H. Fleming and R. W. Rishel. Deterministic and Stochastic Optimal Control. Springer Verlag, New York, 1975.
[100] P. Florchinger, “A passive systems approach to feedback stabilization of nonlinear stochastic systems”, SIAM J. on Control and Optimiz., vol. 37, no. 6, pp. 1848-1864, 1999.
[101] B. C. Francis. A Course in H∞-Control. Lecture Notes in Control and Information, Springer Verlag, New York, 1987.
[102] R. Freeman and P. V. Kokotovic, “Inverse optimality in robust stabilization,” SIAM J. on Control and Optimization, vol. 34, no. 4, pp. 1365-1391, 1996.
[103] E. Fridman and U. Shaked, “On regional nonlinear H∞-filtering,” Systems and Control Letters, vol. 29, pp. 233-240, 1997.
[104] E. Fridman, “State-feedback H∞-control of nonlinear singularly perturbed systems,” Int. J. of Robust and Nonlinear Control, vol. 11, pp. 1115-1125, 2001.
[105] E. Fridman, “A descriptor system approach to nonlinear singularly perturbed optimal control problem,” Automatica, vol. 37, pp. 543-549, 2001.
[106] E. Fridman, “Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem,” Systems and Control Letters, vol. 40, pp. 121-131, 2000.
[107] A. Friedman. Differential Games. Pure and Applied Mathematics Series, Wiley-Interscience, New York, 1971.
[108] G. Frieling, G. Jank and H. Abou-Kandil, “On the global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games,” IEEE Transactions on Automatic Control, vol. 41, no. 2, pp. 264-269, 1996.
[109] J. Fritz. Partial Differential Equations. Springer-Verlag Applied Mathematical Sciences Series, 3rd Ed., New York, 1978.
[110] P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali. Matlab LMI Control Toolbox. MathWorks Inc., Natick, Massachusetts, 1995.
[111] Z. Gajic and M. T. Lim, “A new filtering method for linear singularly perturbed systems,” IEEE Transactions Automatic Control, vol. 39, no. 9, pp. 1952-1955, 1994.
[112] S. T. Glad, “Robustness of nonlinear state-feedback: a survey,” Automatica, vol. 23, pp. 425-435, 1987.
[113] J. C. Geromel, C. E. De-souza and R. E. Skelton, “Static output feedback controllers: Stability and convexity,” IEEE Transactions on Automatic Control, vol. 43, no. 1, pp. 120-125, 1998.
[114] H. H. Goldstine. A History of the Calculus of Variations from the 17th through to the 19th Century. Springer Verlag, New York, 1980.
[115] H. Goldstein. Classical Mechanics. Addison-Wesley, Massachusetts, 1950.
[116] A. Graham. Kronecker Products and Matrix Calculus with Applications. Ellis Horwood, Chichester, UK, 1981.
[117] M. K. Green, “H∞ controller synthesis by J-lossless coprime factorization,” SIAM J. on Control and Optimization, vol. 30, pp. 522-547, 1992.
[118] M. K. Green, K. Glover, D. J. N. Limebeer and J. C. Doyle, “A J-spectral factorization approach to H∞ control,” SIAM J. on Control and Optimization, vol. 28, pp. 1350-1371, 1988.
[119] M. S. Grewal and A. P. Andrews. Kalman Filtering: Theory and Practice. Prentice Hall Information and Systems Science Series, Englewood Cliffs New Jersey, 1993.
[120] M. J. Grimble, D. Ho and A. El-Sayed, “Solution of the H∞-filtering problem for discrete-time systems”, IEEE Transactions Acoustic Speech and Signal Processing, vol. 38, pp. 1092-1104, 1990.
[121] G. Gu, “Stabilizability conditions of multivariable uncertain systems via output feedback,” IEEE Transactions on Automatic Control, vol. 35, no. 7, pp. 925-927, Aug. 1990.
[122] S. W. Groesberg. Advanced Mechanics. John Wiley & Sons, New York, 1968.
[123] M. A. Guest. Harmonic Maps, Loop Groups, and Integrable Systems. London Mathematical Society Text 38, Cambridge University Press, UK, 1997.
[124] H. Guillard, “On nonlinear H∞-control under sampled measurements”, IEEE Transactions Automatic Control, vol. 42, no. 6, pp. 880-885, 1998.
[125] H. Guillard, S. Monaco and D. Normand-Cyrot, “Approximate solutions to nonlinear discrete-time H∞-control,” IEEE Transactions on Automatic Control, vol. 40, no. 12, pp. 2143-2148, 1995.
[126] H. Guillard, S. Monaco and D. Normand-Cyrot, “H∞-control of discrete-time nonlinear systems,” Int. J. of Robust and Nonlinear Control, vol. 6, pp. 633-643, 1996.
[127] P. Hagedorn. Nonlinear Oscillations. Oxford Engineering Science Series, New York, 1988.
[128] J. Hammer, “Fractional representations of nonlinear systems: a simplified approach,” Int. J. Control, vol. 46, pp. 455-472, 1987.
[129] J. W. Helton and M. R. James. Extending H∞-Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives. SIAM Frontiers in Applied Mathematics, Philadelphia, 1999.
[130] M. Hestenes, Calculus of Variation and Optimal Control. Springer Verlag, New York, 1980.
[131] D. Hill and P. Moylan, “The stability of nonlinear dissipative systems”, IEEE Transactions on Automatic Control, vol. 21, pp. 708-711, 1976.
[132] D. Hill and P. Moylan, “Connection between finite-gain and asymptotic stability,” IEEE Transactions on Automatic Control, vol. 25, no. 5, pp. 931-935, Oct. 1980.
[133] D. Hill and P. Moylan, “Stability results for nonlinear feedback systems,” Automatica, vol. 13, pp. 377-382, 1977.
[134] D. Hill and P. Moylan, “Dissipative dynamical systems: Basic input-output and state properties,” J. of Franklin Institute, vol. 309, pp. 327-357, 1980.
[135] J. I. Imura, T. Sugie, and T. Yoshikawa, “Characterization of the strict bounded-real condition for nonlinear systems,” IEEE Transactions on Automatic Control, vol. 42, no. 10, pp. 1459-1464, 1997.
[136] R. Isaacs. Differential Games. SIAM Series in Applied Mathematics, John Wiley & Sons, New York, 1965.
[137] R. Isaacs, “Differential games: their scope, nature, and future”, Journal of Optimization Theory and Applications, vol. 3, no. 5, pp. 283-292, 1969.
[138] A. Isidori, “Feedback control of nonlinear systems,” Int. J. of Robust and Nonlinear Control, vol. 2, pp. 291-311, 1992.
[139] A. Isidori, “H∞ control via measurement feedback for affine nonlinear systems,” Int. J. of Robust and Nonlinear Control, vol. 4, pp. 553-574, 1994.
[140] A. Isidori. Nonlinear Control Systems. Springer Verlag, 3rd Ed., New York, 1995.
[141] A. Isidori and A. Astolfi, “Disturbance-attenuation and H∞ control via measurement feedback for nonlinear systems,” IEEE Transactions on Automatic Control, vol. 37, pp. 1283-1293, Sept. 1992.
[142] A. Isidori and A. Astolfi, “Nonlinear H∞-control via measurement feedback,” J. of Mathematical Systems, Estimation and Control, vol. 2, no. 1, pp. 31-44, 1992.
[143] A. Isidori and C. I. Byrnes, “Output regulation of nonlinear systems,” IEEE Transactions Automatic Control, vol. 35, no. 2, pp. 131-140, 1990.
[144] A. Isidori and W. Lin, “Global L2-gain design for a class of nonlinear systems,” Systems and Control Letters, vol. 34, no. 5, pp. 245-252, 1998.
[145] A. Isidori and W. Kang, “H∞ control via measurement feedback for general class of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 40, no. 3, pp. 466-472, 1995.
[146] A. Isidori, A. J. Krener, G. Gori-Giorgi and S. Monaco, “Nonlinear decoupling via state-feedback: a differential geometric approach,” IEEE Transactions on Automatic Control, vol. 26, pp. 331-345, 1981.
[147] A. Isidori and T. J. Tarn, “Robust regulation for nonlinear systems with gain-bounded uncertainties,” IEEE Transactions on Automatic Control, vol. 40, no. 10, pp. 1744-1754, 1995.
[148] H. Ito, “Robust control for nonlinear systems with structured L2-gain bounded uncertainty,” Systems and Control Letters, vol. 28, no. 3, 1996.
[149] M. R. James, “Partially observed differential games, infinite-dimensional HJI equations and nonlinear H∞-control”, SIAM J. on Control and Optimization, vol. 34, no. 4, pp. 1342-1364, 1996.
[150] M. R. James and J. S. Baras, “Robust H∞ output-feedback control for nonlinear systems,” IEEE Transaction Automatic Control, vol. 40, no. 6, pp. 1007-1017, 1995.
[151] M. R. James, J. S. Baras and R. J. Elliot, “Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systems,” IEEE Transactions Automatic Control, vol. 39, no. 4, pp. 780-792, 1994.
[152] Jazwinski A. H., Stochastic Processes and Filtering Theory, Dover Publ., New York, 1998.
[153] I. Kanellakopoulos, P. V. Kokotovic and A. S. Morse, “Systematic design of adaptive controllers for feedback linearizable systems,” IEEE Transactions Automatic Control, vol. 36, pp. 1241-1253, 1991.
[154] W. Kang, “Nonlinear H∞-control and its application to rigid spacecraft,” IEEE Transactions on Automatic Control, vol. 40, no. 7, pp. 1281-1285, 1995.
[155] W. Kang, P. K. De and A. Isidori, “Flight control in windshear via nonlinear H∞ methods,” Proceedings, 31st IEEE Conference on Decision and Control, Tucson, Arizona, pp. 1135-1142, 1992.
[156] R. P. Kanwal. Generalized Functions: Theory and Techniques. Math of Science and Engineering, vol. 171, Academic Press, New York, 1983.
[157] H. K. Khalil. Nonlinear Systems. Macmillan Academic Pub., New York, 1992.
[158] H. K. Khalil. Nonlinear Systems. 2nd Ed., Macmillan, New York, 2000.
[159] P. P. Khargonekar, I. Petersen and K. Zhou, “Robust stabilization of uncertain linear systems: quadratic stabilizability and H∞ control,” IEEE Transactions on Automatic Control, vol. 35, pp. 356-361, 1990.
[160] P. P. Khargonekar, I. Petersen and M. A. Rotea, “H∞ optimal control with state-feedback,” IEEE Transactions on Automatic Control, vol. 33, no. 8, pp. 786-788, 1988.
[161] P. P. Khargonekar and M. A. Rotea, “Mixed H2/H∞-control: a convex optimization approach,” IEEE Transactions on Automatic Control, vol. 36, no. 7, pp. 824-837, 1991.
[162] P. P. Khargonekar, M. Rotea and E. Baeyens, “Mixed H2/H∞-filtering,” Int. J. of Robust and Nonlinear Control, vol. 6, no. 4, pp. 313-330, 1996.
[163] H. Kimura, Y. Lu and R. Kawatani, “On the structure of H∞-control systems and related extensions,” IEEE Transactions on Automatic Control, vol. 36, no. 6, pp. 653-667, 1991.
[164] D. Kirk. Optimal Control Theory. Prentice Hall, New York, 1972.
[165] P. V. Kokotovic, H. K. Khalil and J. O’Reilly. Singular Pertubation Methods in Control: Analysis and Design. Academic Press, Orlando, Florida, 1986.
[166] A. J. Krener, “Necessary and sufficient conditions for nonlinear worst-case (H∞)-control and estimation,” J. of Math. Systems Estimation and Control, vol. 4, no. 4, pp. 1-25, 1994.
[167] M. Krstic and H. Deng. Stabilization of Nonlinear Uncertain Systems. Springer Verlag, London, 1998.
[168] M. Krstic and Z. H. Li, “Inverse optimal design of input-to-state stable nonlinear controllers”, IEEE Transactions on Automatic Control, vol. 43, no. 3, pp. 336-350, 1998.
[169] M. Krstic and P. Tsiotras, “Inverse optimal stabilization of a rigid spacecraft”, IEEE Transactions Automatic Control, vol. 44, no. 5, pp. 1042-1049, 1999.
[170] M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic. Nonlinear and Adaptive Control Design. John Wiley & Sons New York, 1985.
[171] V. Kucera and C. E. De-souza, “Necessary and sufficient conditions for output-feedback stabilizability,” Automatica, vol. 31, pp. 1357-1359, 1995.
[172] H. J. Kushner, “Nonlinear filtering: the exact dynamical equation satisfied by the conditional mode,” IEEE Transactions on Automatic Control, vol. 12, no. 3, pp. 1967.
[173] H. Kushner and P. Dupuis. Numerical Methods for Stochastic Control Problems in Continuous-Time. Springer Verlag, New York, 1993.
[174] H. Kwakernaak and R. Sivans. Linear Optimal Control. Wiley Interscience, New York, 1972.
[175] E. B. Lee and B. Markus. Foundation of Optimal Control. SIAM Series in Applied Math, John Wiley, New York, 1967.
[176] T. C. Lee, B. S. Chen and T. S. Lee, “Singular H∞-control in nonlinear systems: positive-semidefinite storage functions and separation principle,” Int. J. of Robust and Nonlinear Control, vol. 7, pp. 881-897, 1997.
[177] G. Leitman. The Calculus of Variation and Optimal Control. Plenum Press, New York 1981.
[178] M. T. Lim and Z. Gajic, “Reduced-order H∞ optimal filtering for systems with slow and fast modes,” IEEE Transactions on Circuits and Systems I: Fundamental Thry and Appl., vol. 47, no. 2, pp. 250-254, 2000.
[179] D. J. N. Limebeer, B. D. O. Anderson and B. Hendel, “A Nash game approach to the mixed H2/H∞-control problem,” IEEE Transactions on Automatic Control, vol. 39, no. 4, pp. 824-839, 1994.
[180] W. Lin, “Mixed H2/H∞-control for nonlinear systems,” Int. J. of Control, vol. 64, no. 5, pp. 899-922, 1996.
[181] W. Lin. Synthesis of Discrete-Time Nonlinear Systems. DSc Dissertation, Washington University, St. Louis, 1993.
[182] W. Lin and C. I. Byrnes, “Dissipativity, L2-gain and H∞-control for discrete-time nonlinear systems,” Proceedings, American Control Conf., Baltimore, Maryland, pp. 2257-2260, 1994.
[183] W. Lin and C. I. Byrnes, “H∞-control of discrete-time nonlinear systems,” IEEE Transactions on Automatic Control, vol. 41, no. 4, pp. 494-509, 1996.
[184] W. Lin and C. I. Byrnes, “Discrete-time nonlinear H∞ control with measurement feedback,” Automatica, vol. 31, no. 3, pp. 419-434, 1995.
[185] W. Lin and C. I. Byrnes, “KYP lemma, state-feedback and dynamic output-feedback in discrete-time bilinear systems,” Systems and Control Letters, vol. 23, pp. 127-136, 1994.
[186] P. L. Lions. Generalized Solutions of Hamilton-Jacobi Equations. Pitman Research Notes in Maths, No. 69, Pitman, Boston, 1982.
[187] R. Lozano, B. Brogliato, B. Maschke and O. Egeland. Dissipative Systems Analysis and Control: Theory and Applications. Springer Verlag, London, 2000.
[188] W.-M. Lu, “A state-space approach to parameterization of stabilizing controllers for nonlinear systems,” IEEE Transactions on Automatic Control, vol. 40, no. 9, pp. 1576-1588, 1995.
[189] W.-M. Lu, “H∞-control of nonlinear time-varying systems with finite-time horizon,” Int. J. Control, vol. 64, no. 2, pp. 241-262, 1997.
[190] W.-M. Lu and J. C. Doyle, “H∞-control of nonlinear systems via output-feedback: controller parameterization,” IEEE Transactions on Automatic Control, vol. 39, no. 9, pp. 2517-2521, 1994.
[191] W.-M. Lu and J. C. Doyle, “H∞-control of nonlinear systems: A convex characterization,” IEEE Transactions on Automatic Control, vol. 40, no. 9, pp. 1668-1675, 1995.
[192] W.-M. Lu and J. C. Doyle, “Robustness analysis and synthesis for nonlinear uncertain systems,” IEEE Transactions on Automatic Control, vol. 42, no. 12, pp. 1654-1666, 1997.
[193] D. L. Lukes, “Optimal regulation of nonlinear dynamical systems,” SIAM J. of Control, vol. 7, pp. 75-100, 1969.
[194] W. C. A. Maas and A. J. van der Schaft, “Nonlinear H∞-control: the singular case,” Int. J. of Robust and Nonlinear Control, vol. 6, pp. 669-689, 1996.
[195] J. M. Maciejowski. Multivariable Feedback Design. Addison-Wesley, Reading, Massachusetts, 1989.
[196] M. Hestenes. Conjugate Direction Methods in Optimization. Springer Verlag, New York, 1980.
[197] S. I. Marcus, “Optimal nonlinear estimation for a class of discrete-time stochastic systems”, IEEE Transactions on Automatic Control, vol. 24, no. 2, pp. 297-302, 1979.
[198] R. Marino, W. Respondek and A. J. van der Schaft, “Almost-disturbance-decoupling for single-input single-output nonlinear systems,” IEEE Transactions on Automatic Control, vol. 34, no. 9, pp. 1013-1016, 1989.
[199] R. Marino, W. Respondek, A. J. van der Schaft and P. Tomei, “Nonlinear H∞ almost disturbance decoupling”, Systems and Control Letters, vol. 23, pp. 159-168, 1994.
[200] J. Marsden and T. S. Ratiu. Introduction to Mechanics and Symmetry. Springer-Verlag, 1999.
[201] A. Mcdaniel and L. Smolinsky, “The flow of the G2 periodic Toda lattice”, J. of Mathematical Physics, vol. 38, no. 2, pp. 926-945, 1997.
[202] P. Moylan, “On the implications of passivity in a class of nonlinear systems”, IEEE Transactions Automatic Control, vol. 19, no. 4, pp. 327-357, 1980.
[203] R. E. Mortensen, “Maximum-likelihood recursive nonlinear filtering,” J. of Optimization Theory and Application, vol. 2, no. 6, pp. 386-394, 1968.
[204] M. Munoz-Lecanda and F. J. Yaniz-Fernandez, “Dissipative control of mechanical systems: a geometric approach,” SIAM J. on Control and Optimization, vol. 40, no. 5, pp. 1505-1516, 2002.
[205] D. Mustapha, “Relations between maximum entropy H∞ control and combined H∞/LQG control,” Systems and Control Letters, vol. 12, pp. 193-203.
[206] D. Mustapha, K. Glover and D. J. N. Limebeer, “Solutions to the H∞ general distance problem which minimize an entropy integral,” Automatica, vol. 27, pp. 193-199, 1991.
[207] K. M. Nagpal and P. Khargonekar, “Filtering and smoothing in an H∞ setting”, IEEE Transaction on Automatic Control, vol. 36, no. 2, pp. 152-166, 1991.
[208] S. K. Nguang, “Robust nonlinear H∞ output-feedback control,” IEEE Transactions on Automatic Control, vol. 41, no. 7, pp. 1003-1007, 1996.
[209] S. K. Nguang, “Global robust nonlinear H∞-control of a class of nonlinear systems,” Int. J. of Robust and Nonlinear Control, vol. 7, pp. 75-84, 1997.
[210] S. K. Nguang and M. Fu, “H∞-filtering for known and uncertain nonlinear systems,” Proceedings, IFAC Symposium on Robust Control Design, Rio de Janeiro, Brazil, pp. 347-352, 1994.
[211] S. K. Nguang and M. Fu, “Robust nonlinear H∞ filtering,” Automatica, vol. 32, no. 8, pp. 1195-1199, 1996.
[212] H. Nijmeijer and A. J. van der Schaft. Nonlinear Dynamical Control Systems. Springer Verlag, New York, 1990.
[213] Y. Orlov and L. Acho, “Nonlinear H∞-control of time-varying systems: a unified distribution-based formalism for continuous and sampled-data measurement feedback design,” IEEE Transactions on Automatic Control, vol. 46, no. 4, pp. 638-643, 2001.
[214] A. D. B. Paice and J. B. Moore, “The Youla-Kucera parametrization for nonlinear system,” Systems and Control Letters, vol. 14, pp. 121-129, 1990.
[215] A. D. B. Paice and A. J. van der Schaft, “The class of stabilizing plant controller pairs,” IEEE Transactions on Automatic Control, vol. 41, no. 5, pp. 634-645, 1996.
[216] Z. Pan and T. Basar, “H∞ optimal control for singularly-perturbed systems-Part I: perfect state measurements,” Automatica, vol. 29, no. 2, pp. 401-423, 1993.
[217] Z. Pan and T. Basar, “H∞ optimal control for singularly-perturbed systems-Part II: imperfect state measurements,” IEEE Transactions on Automatic Control, vol. 39, pp. 280-300, 1994.
[218] Z. Pan and T. Basar, “Time-scale separation and robust controller design for uncertain nonlinear singularly-perturbed systems under perfect state measurements,” Int. J. of Robust and Nonlinear Control, vol. 6, pp. 585-608, 1996.
[219] Z. Pan and T. Basar, “Adaptive controller design for tracking and disturbance-attenuation in parametric strict feedback nonlinear systems,” IEEE Transactions on Automatic Control, vol. 43, no. 8, pp. 1066-1083, 1998.
[220] G. P. Papavassilopoulos and G. J. Olsder, “On linear-quadratic, closed-loop, no-memory Nash game,” J. of Optimization Theory and Appl., vol. 42, no. 4, pp. 551-560, 1984.
[221] G. P. Papavassilopoulos, J. V. Medanic and J. B. Cruz, “On the existence of Nash strategies and solutions to coupled Riccati equations in linear-quadratic Nash games,” J. of Optimization Theory and Appl., vol. 28, pp. 49-76, 1979.
[222] G. P. Papavassilopoulos, J. V. Medanic and J. B. Cruz, “On the existence of Nash equilibrium solutions to coupled Riccati equations in linear quadratic games,” Journal of Optimization Theory and Appl., vol. 28, no. 1, pp. 49-76, 1979.
[223] L. Pavel and F. W. Fairman, “Robust stabilization of nonlinear plants: an L2-approach,” Int. J. Robust and Nonlinear Control, vol. 6, no. 7, pp. 691-726, 1996.
[224] L. Pavel and F. W. Fairman, “Nonlinear H∞-control: a J-dissipative approach”, IEEE Transactions on Automatic Control, vol. 42, no. 12, pp. 1636-1653, 1997.
[225] L. Pavel and F. W. Fairman, “Controller reduction for nonlinear plants: an L2 approach,” Int. J. of Robust and Nonlinear Control, vol. 7, pp. 475-505, 1997.
[226] I. Petersen, “A stabilization algorithm for a class of uncertain linear systems,” Systems and Control Letters, vol. 8, pp. 351-357, 1987.
[227] I. Petersen and D. Macfarlane, “Optimal guaranteed cost control and filtering for uncertain linear systems,” IEEE Transactions on Automatic Control, vol. 39, pp. 1971-1977, 1994.
[228] H. K. Pillai and J. C. Willems, “Lossless and dissipative distributed systems,” SIAM J. on Control and Optimization, vol. 40, no. 5, pp. 1406-1430, 2002.
[229] L. S. Pontryagin, V. Boltyanskii, R. Gamkrelidge and E. Mishchenko. The Mathematical Theory of Optimal Processes. Interscience Publishers, Inc., New York, 1962.
[230] W. Rudin. Principles of Mathematical Analysis. McGraw Hill, Singapore, 1976.
[231] H. Rund. The Hamilton-Jacobi Theory in the Calculus of Variations. Van Nostrand, London, 1966.
[232] T. L. Saaty. Modern Nonlinear Equations. McGraw-Hill, New York, 1967.
[233] M. G. Safonov, E. A. Joncheere, M. Verma and D. J. N. Limebeer, “Synthesis of positive-real multivariable feedback systems,” Int. J. Control, vol. 45, no. 3, pp. 817-842, 1987.
[234] S. S. Sastry. Nonlinear Systems: Analysis, Stability and Control. Springer Verlag, New York, 1999.
[235] A. Savkin and I. Petersen, “Optimal guaranteed cost control of discrete-time uncertain nonlinear systems”, IMA J. of Math Control and Info., vol. 14, pp. 319-332, 1997.
[236] A. V. Savkin and I. R. Petersen, “Nonlinear versus linear control in the absolute stabilizability of uncertain linear systems with structured uncertainty” Proceedings, IEEE Conference on Decision and Control, San Antonio, Texas, pp. 172-178, 1993.
[237] C. W. Scherer, “H∞-optimizaton without assumptions on finite or infinite zeros,” SIAM Journal of Control and Optimization, vol. 30, pp. 143-166, 1992.
[238] C. W. Scherer, “Multiobjective H2/H∞-control,” IEEE Transactions on Automatic Control, vol. 40, no. 6, pp. 1054-1062, 1995.
[239] C. W. Scherer, P. Gahinet and M. Chilali, “Multi-objective output-feedback control via LMI optimization,” IEEE Transactions on Automatic Control, vol. 42, no. 7, pp. 896-911, 1997.
[240] J. M. A. Scherpen and A. J. van der Schaft, “Normalized coprime factorization and balancing for unstable nonlinear systems,” Int. J. of Control, vol. 60, no. 6, pp. 1193-1222, 1994.
[241] S. P. Sethi and Q. Zhang. Hierachical Decision Making in Stochastic Manufacturing Systems. Springer Verlag, New York, 1997.
[242] U. Shaked, “H∞ minimum error state estimation of linear stationary processes”, IEEE Transactions on Automatic Control, vol. 35, no. 5, pp. 554-558, 1990.
[243] U. Shaked and Y. Theodor, “H∞ optimal estimation: a tutorial”, Proceedings, 31st Conference on Decision and Control, Tucson, Arizona, pp. 2278-2286, 1992.
[244] U. Shaked and N. Berman, “H∞ nonlinear filtering of discrete-time processes”, IEEE Transactions Signal Processing, vol. 43, no. 9, pp. 2205-2209, 1995.
[245] T. Shen and K. Tamura, “Robust H∞-control of uncertain nonlinear systems via state feedback”, Transactions on Automatic Control, vol. 40, no. 4, pp. 766-769, 1995.
[246] X. Shen and L. Deng, “Decomposition solution of H∞ filter gain in singularly-perturbed systems”, Signal Processing, vol. 55, pp. 313-320, 1996.
[247] M. Shergei and U. Shaked, “Robust H∞ nonlinear control via measurement-feedback,” Int. J. of Robust and Nonlinear Control, vol. 7, pp. 975-987, 1997.
[248] E. Sontag, “Smooth stabilization implies coprime-factorization”, IEEE Transactions on Automatic Control, vol. 34, No. 4, pp. 435-443, 1989.
[249] P. Soravia, “H∞-control of nonlinear systems, differential games and viscosity solutions of HJEs,” SIAM J. on Control and Optimization, vol. 34, no. 4, pp. 1071-1097, 1996.
[250] A. W. Starr and Y. C. Ho, “Nonzero-sum differential games,” Journal of Optimization Theory and Application, vol. 3, no. 3, pp. 184-206, 1969.
[251] A. W. Starr and Y. C. Ho, “Further properties of nonzero-sum differential games,” Journal of Optimization Theory and Application, vol. 3, no. 4, pp. 207-219, 1969.
[252] A. A. Stoorvogel. The H∞-Control Problem: A State-Space Approach. PhD Dissertation, Technical University of Eindhoven, 1990, Prentice Hall, Englewood Cliffs, New Jersey, 1992.
[253] A. A. Stoorvogel and H. L. Trentelmann, “The quadratic matrix inequality in singular H∞-control with state-feedback,” SIAM J. on Control and Optimization, vol. 28, pp. 1190-1208, 1990.
[254] W. Sun, P. P. Khargonekar and D. Shim, “Solution to the the positive-real control problem for linear time-invariant systems,” IEEE Transactions Automatic Control, vol. 39, no. 10, pp. 2034-2046, 1994.
[255] S. Suzuki, A. Isidori and T. J. Tarn, “H∞-control of nonlinear systems with sampled measurement,” J. of Mathematical Systems, Estimation and Control, vol. 5, no. 2, pp. 1-12, 1995.
[256] H. Tan and W. J. Rugh, “Nonlinear overtaking optimal control: sufficiency, stability and approximation,” IEEE Transactions on Automatic Control, vol. 43, no. 12, pp. 1703-1718, 1998.
[257] Y. Theodor and U. Shaked, “A dynamic game approach to mixed H∞/H2 estimation,” Int. J. of Robust and Nonlinear Control, vol. 6, no. 4, pp. 331-345, 1996.
[258] M. Toda. Theory of Nonlinear Lattices. Springer-Verlag, Heidelberg, 1981.
[259] H. Trentelman and J. C. Willems, “Synthesis of dissipative systems using quadratic differential forms,” IEEE Transactions on Automatic Control, vol. 47, no. 1, pp. 53-69, 2002.
[260] P. Tsiotras, M. Corless and M. Rotea, “An L2 disturbance-attenuation solution to the nonlinear benchmark problem,” Int. J. of Robust and Nonlinear Control, vol. 8, pp. 311-330, 1998.
[261] H. D. Tuan and S. Hosoe, “On linearization technique in robust nonlinear H∞ control,” Systems and Control Letters, vol. 27, no. 1, 1996.
[262] H. D. Tuan, “On robust H∞-control for nonlinear discrete and sampled data systems,” IEEE Transactions on Automatic Control, vol. 43, no. 5, pp. 715-719, 1998.
[263] A. J. van der Schaft, “On a state-space approach to nonlinear H∞-control,” Systems and Control Letters, vol. 16, pp. 1-8, 1991.
[264] A. J. van der Schaft, “L2-gain analysis of nonlinear systems and nonlinear state feedback H∞-control,” IEEE Transactions on Automatic Control, vol. 37, no. 6, pp. 770-784, 1992.
[265] A. J. Van der Schaft, “Robust stabilization of nonlinear systems via stable kernel representation with L2-gain bounded uncertainty,” Sytems and Control Letters, vol. 24, pp. 75-81, 1995.
[266] A. J. van der Schaft. L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences, Springer Verlag, vol. 218, 1996.
[267] W. J. Vetter, “Matrix calculus operations and Taylor expansions,” SIAM Review vol. 15, pp. 352-367, 1973.
[268] M. Vidyasagar. Nonlinear Systems Analysis. 2nd Ed., Prentice Hall, Englewood Cliffs, New Jersey, 1995.
[269] Z. Wang and H. Unbehauen, “Robust H2/H∞ state estimation for systems with error variance constraints: the continuous-time case”, IEEE Transactions on Automatic control, vol. 44, no. 5, pp. 1061-1065, May, 1999.
[270] Z. Wang and B. Huang, “Robust H2/H∞-filtering for linear systems with error variance constraints,” IEEE Transactions Signal Processing, vol. 48, no. 8, pp. 2463-2467, 2000.
[271] E. Whittaker. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. Dover, New York, 1944.
[272] J. C. Willems, “Least squares stationary optimal control and the algebraic Riccati equation,” IEEE Transactions on Automatic Control, vol. 16, no. 6, pp. 621-634, 1971.
[273] J. C. Willems, “The construction of Lyapunov functions for input-output stable systems,” SIAM J. on Control, vol. 9, pp. 105-134, 1971.
[274] J. C. Willems, “Dissipative dynamical systems: Part I: general theory, Part II: linear systems with quadratic supply rates,” Archives for Rational Mechanics and Analysis, vol. 45, no. 5, pp. 321-393, 1972.
[275] J. C. Willems and H. Trentelman, “Synthesis of dissipative systems using quadratic differential forms,” IEEE Transactions on Automatic Control, vol. 47, no. 1, pp. 53-69, 2002.
[276] J. C. Willems, “Almost invariant-subspaces: an approach to high-gain feedback - Part I: Almost controlled invariant subspaces, Part II: Almost conditionally invariant subspaces,” IEEE Transactions on Automatic Control, vol. 26, no. 1, pp. 235-252, Oct. 1982, and Vol. 27, no. 5, pp. 1071-1084, 1983.
[277] W. H. Wonham. Linear Multivariable Control: A Geometric Approach. Springer Verlag, New York, 1979.
[278] H.-N. Wu and H.-Y. Zhang, “Reliable L2/H∞ fuzzy static output feedback control for nonlinear systems with sensor faults,” Automatica, vol. 41, pp. 1925-1932, 2005.
[279] L. Xie, C. E. De souza and Y. Wang, “Robust filtering for a class of discrete-time nonlinear systems: An H∞ approach,” Int. J. of Robust and Nonlinear Control, vol. 6, pp. 297-312, 1996.
[280] L. Xie, C. E. De souza and Y. Wang, “Robust control of discrete-time uncertain systems,” Automatica, vol. 29, pp. 1133-1137, 1993.
[281] I. Yaesh and U. Shaked, “Game theory approach to optimal linear estimation in the minimum H∞-norm sense,” Proceedings, 31st Conference on Decision and Control, Tampa, FLorida, pp. 421-425, 1989.
[282] F. Yang, Z. Wang, Y. S. Hung and H. Shu, “Mixed H2/H∞-filtering for uncertain systems with regional pole assignment,” IEEE Transactions on Aerospace and Electronic Systems, vol. 41, no. 2, pp. 438-448, 2005.
[283] G. H. Yang and J. Dong, “H∞ filtering for fuzzy singularly-perturbed systems,” IEEE Transactions on Systems, Man and Cybernetics-Part B, vol. 38, no. 5, 1371-1389, 2008.
[284] G.-H. Yang, J. Lam and J. Wang, “Robust control of uncertain nonlinear systems,” Proceedings, 35th Conference on Decision and Control, Kobe, pp. 823-828, 1996.
[285] G.-H. Yang, J. Lam, and J. Wang, “Reliable H∞ control of affine nonlinear systems,” IEEE Transactions on Automatic Control, vol. 43, no. 8, pp. 1112-1116, 1998.
[286] M. J. Yazdanpanah, K. Khorasani and R. V. Patel, “Uncertainty compensation for a flexible-link manipulator using nonlinear H∞ Control,” Int. J. Control, vol. 69, no. 6, pp. 753-771, 1998.
[287] J. Yong and X. Y. Zhou. Stochastic Controls, Hamiltonian Systems and Hamilton- Jacobi-Bellman Equations. Springer Verlag, New York, 1999.
[288] C.-F. Yung, Y.-P. Lin, and F. B. Yeh, “A family of nonlinear output-feedback H∞ controllers,” IEEE Transactions on Automatic Control, vol. 41, no. 2, pp. 232-236, 1996.
[289] C.-F. Yung, J. L. Wu, and T. T. Lee, “H∞-control for more general class of nonlinear systems,” IEEE Transactions Automatic Control, vol. 43, no. 12, pp. 1724-1727, 1998.
[290] G. Zames, “Feedback and optimal sensitivity, model reference transformations, multiplicative semi-norms and approximate inverses,” IEEE Transactions on Automatic Control, vol. 26, no. 2, pp. 301-320, 1981.
[291] E. Zeidler. Nonlinear Functional Analysis and its Applications, Part I: Fixed-Point Theorems. Springer Verlag, New York, 1986.
[292] K. Zhou, J. C. Doyle, and K. Glover. Robust and optimal Control. Prentice Hall, Englewood Cliffs, New Jersey, 1996.
[293] K. Zhou, K. Glover, B. Bodenheimer, and J. C. Doyle, “Mixed H2/H∞ performance objectives I: robust performance analysis,” IEEE Transactions on Automatic Control, vol. 39, no. 8, pp 1564-1574, 1994.