Impulsive and Hybrid Dynamical Systems

Stability, Dissipativity, and Control

Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov

• Publisher: Princeton University Press
• Year: 2014
• Print ISBN:
  9780691127156
• eBook ISBN:
  9781400865246
• Topic: Mathematics
• Subtopic: Applied Mathematics
• Index: Mathematics

This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems.



Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.

Table of contents

• Cover
• Title
• Copyright
• Dedication
• Contents
• Preface
• Chapter 1. Introduction
• Chapter 2. Stability Theory for Nonlinear Impulsive Dynamical Systems
• Chapter 3. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems
• Chapter 4. Impulsive Nonnegative and Compartmental Dynamical Systems
• Chapter 5. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems
• Chapter 6. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems
• Chapter 7. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems
• Chapter 8. Energy and Entropy-Based Hybrid Stabilization for Nonlinear Dynamical Systems
• Chapter 9. Optimal Control for Impulsive Dynamical Systems
• Chapter 10. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems
• Chapter 11. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems
• Chapter 12. Hybrid Dynamical Systems
• Chapter 13. Poincaré Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems
• Appendix A. System Functions for the Clock Escapement Mechanism
• Bibliography
• Index