Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

Contents

1    Introduction

1.1    Historical Perspective on Nonlinear ${\mathcal{H}}_{\infty }$-Control

1.2    General Set-Up for Nonlinear ${\mathcal{H}}_{\infty }$-Control Problems

1.2.1    Mixed ${\mathcal{H}}_2$/${\mathcal{H}}_{\infty }$-Control Problem

1.2.2    Robust ${\mathcal{H}}_{\infty }$-Control Problem

1.2.3    Nonlinear ${\mathcal{H}}_{\infty }$-Filtering

1.2.4    Organization of the Book

1.3    Notations and Preliminaries

1.3.1    Notation

1.3.2    Stability Concepts

1.4    Notes and Bibliography

2    Basics of Differential Games

2.1    Dynamic Programming Principle

2.2    Discrete-Time Nonzero-Sum Dynamic Games

2.2.1    Linear-Quadratic Discrete-Time Dynamic Games

2.3    Continuous-Time Nonzero-Sum Dynamic Games

2.3.1    Linear-Quadratic Continuous-Time Dynamic Games

2.4    Notes and Bibliography

3    Theory of Dissipative Systems

3.1    Dissipativity of ...