Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

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

• Publisher: Princeton University Press
• Year: 2011
• Tongue: English
• Leaves: 388
• Series: Princeton Series in Applied Mathematics; 41
• Edition: Course Book
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Contents
Preface
Chapter One. Introduction
Chapter Two. Stability Theory via Vector Lyapunov Functions
Chapter Three. Large-Scale Continuous-Time Interconnected Dynamical Systems
Chapter Four. Thermodynamic Modeling of Large-Scale Interconnected Systems
Chapter Five. Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions
Chapter Six. Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions
Chapter Seven. Coordination Control for Multiagent Interconnected Systems
Chapter Eight. Large-Scale Discrete-Time Interconnected Dynamical Systems
Chapter Nine. Thermodynamic Modeling for Discrete-Time Large-Scale Dynamical Systems
Chapter Ten. Large-Scale Impulsive Dynamical Systems
Chapter Eleven. Control Vector Lyapunov Functions for Large-Scale Impulsive Systems
Chapter Twelve. Finite-Time Stabilization of Large-Scale Impulsive Dynamical Systems
Chapter Thirteen. Hybrid Decentralized Maximum Entropy Control for Large-Scale Systems
Chapter Fourteen. Conclusion
Bibliography
Index