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 isaccomplished 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-containedwith introductory material providing a review of the history of chaos controland the necessary mathematical preliminaries for working with dynamical systems. Unifies chaos theory with fuzzy systems theory for more effective control of chaotic systems Presents the latest results on chaotification of linear systems Presents novel advanced control methods for applications to chaotic and nonlinear systems INDICE: Overview.- 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.- Synchronizaton of Chaotic Systems with Time-delay.- Synchronizing Chaotic Systems Based on Fuzzy Models.- Chaotification of Nonchaotic Systems.
- ISBN: 978-1-84882-522-2
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 365
- Fecha Publicación: 01/08/2009
- Nº Volúmenes: 1
- Idioma: Inglés