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

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Wassim M. Haddad Sergey G. Nersesov

Stability and Control of Large-Scale Dynamical Systems

A Vector Dissipative Systems Approach

Wassim M. Haddad, Sergey G. Nersesov

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English

Princeton University Press
04 December 2011

Numerical analysis; Linear programming

Series: Princeton Series in Applied Mathematics

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.

By: Wassim M. Haddad, Sergey G. Nersesov
Imprint: Princeton University Press
Country of Publication: United States
Volume: 41
Dimensions: Height: 254mm, Width: 178mm, Spine: 25mm
Weight: 964g
ISBN: 9780691153469
ISBN 10: 0691153469
Series: Princeton Series in Applied Mathematics
Pages: 384
Publication Date: 04 December 2011
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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

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