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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.
Autorius: | Huaguang Zhang, Zhiliang Wang, Derong Liu, |
Serija: | Communications and Control Engineering |
Leidėjas: | Springer London |
Išleidimo metai: | 2011 |
Knygos puslapių skaičius: | 364 |
ISBN-10: | 1447122828 |
ISBN-13: | 9781447122821 |
Formatas: | 235 x 155 x 20 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Controlling Chaos: Suppression, Synchronization and Chaotification“