| Preface to the Classics Edition |
| Preface |
| Note to the Reader |
| Introduction / 1.： |
| Nonlinear Differential Equations / 2.： |
| Mathematical Preliminaries / 2.1： |
| Induced Norms and Matrix Measures / 2.2： |
| Contraction Mapping Theorem / 2.3： |
| Solution Estimates / 2.4： |
| Second-Order Systems / 3.： |
| Preliminaries / 3.1： |
| Linearization Method / 3.2： |
| Periodic Solutions / 3.3： |
| Two Analytical Approximation Methods / 3.4： |
| Approximate Analysis Methods / 4.： |
| Describing Functions / 4.1： |
| Periodic Solutions: Rigorous Arguments / 4.2： |
| Singular Perturbations / 4.3： |
| Lyapunov Stability / 5.： |
| Stability Definitions / 5.1： |
| Some Preliminaries / 5.2： |
| Lyapunov's Direct Method / 5.3： |
| Stability of Linear Systems / 5.4： |
| Lyapunov's Linearization Method / 5.5： |
| The Lur'e Problem / 5.6： |
| Converse Theorems / 5.7： |
| Applications of Converse Theorems / 5.8： |
| Discrete-Time Systems / 5.9： |
| Input-Output Stability / 6.： |
| L[subscript p]-Spaces and their Extensions / 6.1： |
| Definitions of Input-Output Stability / 6.2： |
| Relationships Between I/O and Lyapunov Stability / 6.3： |
| Open-Loop Stability of Linear Systems / 6.4： |
| Linear Time-Invariant Feedback Systems / 6.5： |
| Time-Varying and/or Nonlinear Systems / 6.6： |
| Differential Geometric Methods / 6.7： |
| Basics of Differential Geometry / 7.1： |
| Distributions, Frobenius Theorem / 7.2： |
| Reachability and Observability / 7.3： |
| Feedback Linearization: Single-Input Case / 7.4： |
| Feedback Linearization: Multi-Input Case / 7.5： |
| Input-Output Linearization / 7.6： |
| Stabilization of Linearizable Systems / 7.7： |
| Prevalence of Differential Equations with Unique Solutions / A.： |
| Proof of the Kalman-Yacubovitch Lemma / B.： |
| Proof of the Frobenius Theorem / C.： |
| References |
| Index |
| Preface to the Classics Edition |
| Preface |
| Note to the Reader |
図書
