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Controlling Chaos: Suppression, Synchronization and Chaotification
Paperback
Series: Communications and Control Engineering
Technology & EngineeringGeneral Mathematics
ISBN13: 9781447122821
Publisher: Springer
Published: Dec 21 2011
Pages: 344
Weight: 1.13
Height: 0.76 Width: 6.14 Depth: 9.21
Language: English
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.
1 different editions
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