Preface to the Second Edition |
Preface to the First Edition |
Introduction / 1.: |
Dynamical Systems / 1.1: |
Stability Preserving Mappings / 1.2: |
Stability of Motion / 1.3: |
Finite Dimensional Systems / 1.4: |
Infinite Dimensional Systems / 1.5: |
Differential Inclusions / 1.6: |
Hybrid Dynamical Systems / 1.7: |
Stability of Hybrid and Discontinuous Dynamical Systems / 1.8: |
Case Studies in Hybrid and Discontinuous Dynamical Systems / 1.9: |
Bibliography |
Notation / 2.: |
Ordinary Differential Equations / 2.2: |
Ordinary Difference Equations / 2.4: |
Ordinary Differential Inequalities / 2.5: |
Ordinary Difference Inequalities / 2.6: |
Functional Differential Equations / 2.7: |
Volterra Integrodifferential Equations / 2.8: |
Semigroups / 2.9: |
Partial Differential Equations / 2.10: |
Notes and References / 2.11: |
Problems / 2.12: |
Invariant Sets / 3.: |
Qualitative Characterizations / 3.2: |
Comparison Theorems / 3.3: |
Applications / 3.5: |
A Perspective / 3.6: |
Systems of Differential and Difference Inequalities as Comparison Systems / 3.7: |
Results Involving Quasimonotonicity Conditions: Continuous-Time Case / 4.2: |
Results Involving Monotonicity Conditions: Discrete-Time Case / 4.3: |
The Principal Lyapunov Theorems for General Dynamical Systems / 4.4: |
Converse Theorems / 4.5: |
Autonomous Systems / 4.6: |
Invariance Theory / 4.7: |
Uniqueness of Motions / 4.8: |
Lyapunov Functions and Stability Preserving Mappings / 4.9: |
Applications to Discrete Event Systems / 4.10: |
Preliminaries / 4.11: |
Stability and Boundedness / 5.2: |
Instability / 5.3: |
Comparison Theory / 5.4: |
Applications: Absolute Stability of Regulator Systems / 5.7: |
Applications to Artificial Neural Networks / 5.8: |
Applications to Digital Filters / 5.9: |
Hybrid Systems / 5.10: |
An Application to Artificial Neural Networks with Time Delays / 6.8: |
Application to a Multicore Nuclear Reactor Model / 6.9: |
Stability Analysis / 6.10: |
Dynamical Systems Determined by Differential Inequalities / 7.3: |
Applications to Robust Stability / 7.5: |
Applications to Absolute Stability of Regulator Systems / 7.6: |
Applications to a Class of Nonlinear Circuits and Artificial Neural Networks / 7.7: |
A Model for General Hybrid Dynamical Systems / 7.8: |
Some Examples of Hybrid Dynamical Systems Defined on Generalized Time / 8.2: |
Some Qualitative Characterizations of Hybrid Dynamical Systems / 8.3: |
Embedding of Hybrid Dynamical Systems into Dynamical Systems Defined on Real Time R[superscript +] / 8.4: |
Some Examples of Hybrid Dynamical Systems Defined on R[superscript +] / 8.5: |
Stability of Discontinuous Dynamical Systems: Results Involving Stability Preserving Mappings / 8.6: |
The Principal Lyapunov Theorems for Discontinuous Dynamical Systems / 9.2: |
Results Involving Vector Lyapunov Functions / 9.3: |
Interconnected Systems / 9.5: |
Some Qualitative Properties of Sampled-Data Control Systems / 9.6: |
Stability Analysis of Multirate Digital Control Systems / 10.2: |
Stability Analysis of Pulse-Width-Modulated Feedback Control Systems / 10.3: |
A Class of Variable Structure Systems: Hopfield Neural Nets with Infinite Gain Amplifiers / 10.4: |
Dynamical Systems Subjected to State Saturation Constraints / 10.5: |
Index / 10.6: |
Preface to the Second Edition |
Preface to the First Edition |
Introduction / 1.: |
Dynamical Systems / 1.1: |
Stability Preserving Mappings / 1.2: |
Stability of Motion / 1.3: |