Half Title
by M.D.S. Aliyu
Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- 1 Introduction
- 2 Basics of Differential Games
- 3 Theory of Dissipative Systems
- 3.1 Dissipativity of Continuous-Time Nonlinear Systems
- 3.2 H∞-Gain Analysis for Continuous-Time Dissipative Systems
- 3.3 Continuous-Time Passive Systems
- 3.4 Feedback-Equivalence to a Passive Continuous-Time Nonlinear System
- 3.5 Dissipativity and Passive Properties of Discrete-Time Nonlinear Systems
- 3.6 ℓ2-Gain Analysis for Discrete-Time Dissipative Systems
- 3.7 Feedback-Equivalence to a Discrete-Time Lossless Nonlinear System
- 3.8 Notes and Bibliography
- 4 Hamiltonian Mechanics and Hamilton-Jacobi Theory
- 5 State-Feedback Nonlinear H∞-Control for Continuous-Time Systems
- 5.1 State-Feedback H∞-Control for Affine Nonlinear Systems
- 5.2 State-Feedback Nonlinear H∞ Tracking Control
- 5.3 Robust Nonlinear H∞ State-Feedback Control
- 5.4 State-Feedback H∞-Control for Time-Varying Affine Nonlinear Systems
- 5.5 State-Feedback H∞-Control for State-Delayed Affine Nonlinear Systems
- 5.6 State-Feedback H∞-Control for a General Class of Nonlinear Systems
- 5.7 Nonlinear H∞ Almost-Disturbance-Decoupling
- 5.8 Notes and Bibliography
- 6 Output-Feedback Nonlinear H∞-Control for Continuous-Time Systems
- 6.1 Output Measurement-Feedback H∞-Control for Affine Nonlinear Systems
- 6.2 Output Measurement-Feedback Nonlinear H∞ Tracking Control
- 6.3 Robust Output Measurement-Feedback Nonlinear H∞-Control
- 6.4 Output Measurement-Feedback H∞-Control for a General Class of Nonlinear Systems
- 6.5 Static Output-Feedback Control for Affine Nonlinear Systems
- 6.6 Notes and Bibliography
- 7 Discrete-Time Nonlinear H∞-Control
- 7.1 Full-Information H∞-Control for Affine Nonlinear Discrete-Time Systems
- 7.2 Output Measurement-Feedback Nonlinear H∞-Control for Affine Discrete-Time Systems
- 7.3 Extensions to a General Class of Discrete-Time Nonlinear Systems
- 7.4 Approximate Approach to the Discrete-Time Nonlinear H∞-Control Problem
- 7.5 Notes and Bibliography
- 8 Nonlinear H∞-Filtering
- 8.1 Continuous-Time Nonlinear H∞-Filtering
- 8.2 Continuous-Time Robust Nonlinear H∞-Filtering
- 8.3 Certainty-Equivalent Filters(CEFs)
- 8.4 Discrete-Time Nonlinear H∞-Filtering
- 8.5 Discrete-Time Certainty-Equivalent Filters(CEFs)
- 8.6 Robust Discrete-Time Nonlinear H∞-Filtering
- 8.7 Notes and Bibliography
- 9 Singular Nonlinear H∞-Control and H∞-Control for Singularly-Perturbed Nonlinear Systems
- 9.1 Singular Nonlinear H∞-Control with State-Feedback
- 9.2 Output Measurement-Feedback Singular Nonlinear H∞-Control
- 9.3 Singular Nonlinear H∞-Control with Static Output-Feedback
- 9.4 Singular Nonlinear H∞-Control for Cascaded Nonlinear Systems
- 9.5 H∞-Control for Singularly-Perturbed Nonlinear Systems
- 9.6 Notes and Bibliography
- 10 H∞-Filtering for Singularly-Perturbed Nonlinear Systems
- 11 Mixed H∞2/H∞∞ Nonlinear Control
- 12 Mixed H∞2/H∞∞ Nonlinear Filtering
- 12.1 Continuous-Time Mixed H∞2/H∞∞ Nonlinear Filtering
- 12.2 Discrete-Time Mixed H∞2/H∞∞ Nonlinear Filtering
- 12.2.1 Solution to the Finite-Horizon Discrete-Time Mixed H∞2/H∞∞ Nonlinear Filtering Problem
- 12.2.2 Solution to the Infinite-Horizon Discrete-Time Mixed H∞2/H∞∞ Non-linear Filtering Problem
- 12.2.3 Approximate and Explicit Solution to the Infinite-Horizon Discrete-Time Mixed H∞2/H∞∞ Nonlinear Filtering Problem
- 12.2.4 Discrete-Time Certainty-Equivalent Filters(CEFs)
- 12.3 Example
- 12.4 Notes and Bibliography
- 13 Solving the Hamilton-Jacobi Equation
- A Proof of Theorem 5.7.1
- B Proof of Theorem 8.2.2
- Bibliography
- Index
-
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