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OverviewControlling 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. Full Product DetailsAuthor: Huaguang Zhang , Derong Liu , Zhiliang WangPublisher: Springer London Ltd Imprint: Springer London Ltd Edition: 2009 ed. Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 0.557kg ISBN: 9781447122821ISBN 10: 1447122828 Pages: 344 Publication Date: 21 December 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsOverview.- Preliminaries of Nonlinear Dynamics and Chaos.- Entrainment and Migration Control of Chaotic Systems.- Feedback Control of Chaotic Systems.- Synchronizing Chaotic Systems Based on Feedback Control.- Synchronizing Chaotic Systems via Impulsive Control.- Synchronization of Chaotic Systems with Time Delay.- Synchronizing Chaotic Systems Based on Fuzzy Models.- Chaotification of Nonchaotic Systems.ReviewsFrom 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) 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |