Stability and Control of Large-Scale Dynamical Systems

Wassim M. Haddad; Sergey G. Nersesov

Wassim M. Haddad and Sergey G. Nersesov

Stability and Control of Large-Scale Dynamical Systems

A Vector Dissipative Systems Approach

In: Princeton Series in Applied Mathematics, 41

Princeton University Press | 2012

https://doi.org/10.1515/9781400842667

Overview
Contents

About this book

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.

Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control.

This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.

Author information

Wassim M. Haddad is a professor in the School of Aerospace Engineering and chair of the Flight Mechanics and Control Discipline at Georgia Institute of Technology. Sergey G. Nersesov is an associate professor in the Department of Mechanical Engineering at Villanova University.

Reviews

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

The monograph is an excellent up-to-date authoritative reference covering original results which are presented in a rigorous, unified framework with examples. . . . The book will be useful primarily to applied mathematicians, control theorists and engineers, and anyone dealing with Lyapunov stability and control of nonlinear interconnected dynamic systems.---Lubomir Bakule, Zentralblatt MATH

"With admirable and sound scholarship, and great scientific maturity, this book gives a methodical development of vector Lyapunov functions and vector control Lyapunov functions for the design of distributed control systems. It is a welcome addition to the literature and develops a rigorous foundation for applications in an important emerging new area."—Frank L. Lewis, University of Texas, Arlington

"This solid book provides a unique perspective and detailed account of the theory and applications of vector Lyapunov functions. I am confident it will be well received by researchers and graduate students working in control theory and large-scale systems."—Mehran Mesbahi, University of Washington

Frontmatter Free access PDF PDF	i
Contents Free access PDF PDF	ix
Preface Access restricted Content is available PDF PDF	xiii
Chapter One. Introduction Access restricted Content is available PDF PDF	1
Chapter Two. Stability Theory via Vector Lyapunov Functions Access restricted Content is available PDF PDF	9
Chapter Three. Large-Scale Continuous-Time Interconnected Dynamical Systems Access restricted Content is available PDF PDF	45
Chapter Four. Thermodynamic Modeling of Large-Scale Interconnected Systems Access restricted Content is available PDF PDF	75
Chapter Five. Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions Access restricted Content is available PDF PDF	93
Chapter Six. Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions Access restricted Content is available PDF PDF	107
Chapter Seven. Coordination Control for Multiagent Interconnected Systems Access restricted Content is available PDF PDF	127
Chapter Eight. Large-Scale Discrete-Time Interconnected Dynamical Systems Access restricted Content is available PDF PDF	153
Chapter Nine. Thermodynamic Modeling for Discrete-Time Large-Scale Dynamical Systems Access restricted Content is available PDF PDF	181
Chapter Ten. Large-Scale Impulsive Dynamical Systems Access restricted Content is available PDF PDF	211
Chapter Eleven. Control Vector Lyapunov Functions for Large-Scale Impulsive Systems Access restricted Content is available PDF PDF	271
Chapter Twelve. Finite-Time Stabilization of Large-Scale Impulsive Dynamical Systems Access restricted Content is available PDF PDF	289
Chapter Thirteen. Hybrid Decentralized Maximum Entropy Control for Large-Scale Systems Access restricted Content is available PDF PDF	305
Chapter Fourteen. Conclusion Access restricted Content is available PDF PDF	351
Bibliography Access restricted Content is available PDF PDF	353
Index Access restricted Content is available PDF PDF	367
Backmatter Access restricted Content is available PDF PDF	372

(Deutsch)

Stability and Control of Large-Scale Dynamical Systems

A Vector Dissipative Systems Approach

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