Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control

✍ Scribed by Wassim M. Haddad; VijaySekhar Chellaboina; Sergey G. Nersesov

• Publisher: Princeton University Press
• Year: 2014
• Tongue: English
• Leaves: 521
• Series: Princeton Series in Applied Mathematics; 15
• Category: Library

✦ Synopsis

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

Contents
Preface
Chapter One. Introduction
Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems
Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems
Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems
Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems
Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems
Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems
Chapter Nine. Optimal Control for Impulsive Dynamical Systems
Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems
Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems
Chapter Twelve. Hybrid Dynamical Systems
Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems
Appendix A. System Functions for the Clock Escapement Mechanism
Bibliography
Index