Controlling Chaos
Description
Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems.
This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.
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From the reviews:
"In this book the authors present state-of-the-art techniques for active control and synchronization of chaotic systems. . the book is written in a clear and concise fashion and each chapter contains a list of up-to-date references. . The book should be valuable to graduate students and faculty in engineering, or to applied mathematicians and physicists interested in the field of nonlinear dynamics and control theory. . It is recommended for individuals as well as libraries." (Subhash C. Sinha, International Journal of Acoustics and Vibration, Vol. 16 (1), 2011)More details
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