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

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

Published by Princeton University Press 2006

Impulsive and Hybrid Dynamical Systems

Stability, Dissipativity, and Control

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

Volume 15 in the series Princeton Series in Applied Mathematics

https://doi.org/10.1515/9781400865246

Overview
Contents

About this book

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.

Author / Editor information

Wassim M. Haddad is Professor of Aerospace Engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is Associate Professor of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee. Sergey G. Nersesov is Assistant Professor of Mechanical Engineering at Villanova University. Haddad, Chellaboina, and Nersesov previously coauthored Thermodynamics: A Dynamical Systems Approach (Princeton).

Reviews

Wassim Haddad, Winner of the 2014 Pendray Aerospace Literature Award, American Institute of Aeronautics and Astronautics

With the growing interest in hybrid dynamical systems, the book forms a welcome text dealing with a restricted well-defined class of hybrid systems. Typical subjects that receive attention throughout are set-stability, energy based control, inverse-optimal control, etc. The book may be viewed as a welcome addition in the areas of hybrid systems, containing rigorous and detailed results.---Henk Nijmeijer, Mathematical Reviews

This book fills a void in the are of systems research and is a welcome addition to the literature on hybrid and impulsive systems. The book is well organized, well written, and rigorous in the development of their subject on hand. The authors are to be commended for their scholarly contribution on a subject that is still evolving.---Anthony N. Michel, IEEE Control Systems Magazine

"This carefully written book fills a void in the literature on hybrid and impulsive systems. No book in print has the depth and breadth of this one. The authors present their material in a rigorous and mathematically sound manner."—Anthony Michel, University of Notre Dame

"This book is a significant and timely contribution to the field. Interest in the study of hybrid systems has been growing exponentially in recent years, and the investigation of impulsive differential equations has also drawn much attention. In combining these two important areas, Impulsive and Hybrid Dynamical Systems captures the rich behavior of both in a manner applicable to many applied, technical, and real-world problems. It provides all the necessary tools for the benefit of users."—V. Lakshmikantham, Florida Institute of Technology

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	ix
Preface Requires Authentication Unlicensed Licensed Download PDF	xiii
Chapter One. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	9
Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	81
Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	125
Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	147
Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	191
Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems Requires Authentication Unlicensed Licensed Download PDF	221
Chapter Nine. Optimal Control for Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	319
Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	351
Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	385
Chapter Twelve. Hybrid Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	411
Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems Requires Authentication Unlicensed Licensed Download PDF	443
Appendix A. System Functions for the Clock Escapement Mechanism Requires Authentication Unlicensed Licensed Download PDF	477
Bibliography Requires Authentication Unlicensed Licensed Download PDF	485
Index Requires Authentication Unlicensed Licensed Download PDF	501