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Stability and Control of Large-Scale Dynamical SystemsA Vector Dissipative Systems Approach$
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Wassim M. Haddad and Sergey G. Nersesov

Print publication date: 2011

Print ISBN-13: 9780691153469

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153469.001.0001

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(p.1) Chapter One Introduction
Stability and Control of Large-Scale Dynamical Systems

Wassim M. Haddad

Sergey G. Nersesov

Princeton University Press

This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, with an emphasis on vector Lyapunov function methods and vector dissipativity theory. It examines large-scale continuous-time interconnected dynamical systems and describes thermodynamic modeling of large-scale interconnected systems, along with the use of vector Lyapunov functions to control large-scale dynamical systems. It also discusses finite-time stabilization of large-scale systems via control vector Lyapunov functions, coordination control for multiagent interconnected systems, large-scale impulsive dynamical systems, finite-time stabilization of large-scale impulsive dynamical systems, and hybrid decentralized maximum entropy control for large-scale systems. This chapter provides a brief introduction to large-scale interconnected dynamical systems as well as an overview of the book's structure.

Keywords:   stability analysis, control design, interconnected dynamical system, vector Lyapunov function, vector dissipativity theory, thermodynamic modeling, finite-time stabilization, multiagent interconnected system, impulsive dynamical system, maximum entropy control

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