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.
General
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