Li X. Impulsive Systems with Delays. Stability and Control 2021 torrent

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This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided.
This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.
Preface
Acknowledgements
Notations
Sets and Spaces
Norms
Set Theory
Vector and Matrix Operators
Mathematical Symbols
Abbreviations
Miscellaneous
Introduction
A Brief History
Examples in Science and Engineering
Classifications of Impulsive Systems
A Relation with Intermittent Control
Overview of This Book
Definitions and Basic Theory
Existence and Uniqueness of Solutions
Controllability and Observability
Controllability
Observability
Fundamental Concepts
Relevant Definitions
Relevant Lemmas
Linear Matrix Inequality
Schur's Complement
Comparison Principle
Impulsive Delayed Systems
Lyapunov Stability
Lyapunov-Razumikhin Approach
Lyapunov-Krasovskii Approach
Halanay Inequality Technique
Comparison Principle
Finite-Time Stability
FTS-I
FTS-II
Numerical Examples
Input-to-State Stability
Stabilizing or Destabilizing Impulses
Hybrid Impulses
Numerical Examples
Summary
Impulsive Systems with Delayed Impulses
Lyapunov Stability
Time-Dependent Delayed Impulses
State-Dependent Delayed Impulses
Additional Results on State-Dependent Delay
Numerical Examples
Input-to-State Stability
Stabilizing or Destabilizing Delayed Impulses
Hybrid Delayed Impulses
Numerical Examples
Synchronization via Delayed Impulsive Control
Impulses with Stabilizing Delays
Impulses with Destabilizing Delays
Numerical Examples
Summary
Impulsive Systems with Event-Triggered Mechanism
Lyapunov Stability
ETM of Impulsive Systems without Delays
ETM of Impulsive Systems with Delays
Event-Triggered Delayed Impulsive Control
Numerical Examples
Input-to-State Stability
State-Based Event-Triggered Impulsive Control
Output-Based Event-Triggered Impulsive Control
Numerical Examples
Summary
Appendix Bibliography
Index