Impulsive and hybrid dynamical systems : stability, dissipativity, and control / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov.

Format:

Book

Author/Creator:

Haddad, Wassim M., 1961- author.

Chellaboina, VijaySekhar, 1970- author.

Nersesov, Sergey G., 1976- author.

Series:

Princeton series in applied mathematics.

Princeton Series in Applied Mathematics

Language:

English

Subjects (All):

Automatic control.

Control theory.

Dynamics.

Discrete-time systems.

Physical Description:

1 online resource (522 p.)

Edition:

1st ed.

Place of Publication:

Princeton, New Jersey ; Oxfordshire, England : Princeton University Press, 2006.

Language Note:

English

Summary:

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.

Contents:

Front matter

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4008-6524-7

OCLC:

888743990