A model-based scheme for anticontrol of some chaotic systems
Date
2003
Authors
Morgül, Ö.
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Source Title
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Print ISSN
0218-1274
Electronic ISSN
Publisher
World Scientific Publishing
Volume
13
Issue
11
Pages
3449 - 3457
Language
English
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Journal Title
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Volume Title
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Abstract
We consider a model-based approach for the anticontrol of some continuous time systems. We assume the existence of a chaotic model in an appropriate form. By using a suitable input, we match the dynamics of the controlled system and the chaotic model. We show that controllable systems can be chaotifled with the proposed method. We give a procedure to generate such chaotic models. We also apply an observer-based synchronization scheme to compute the required input.
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Keywords
Anticontrol, Chaos control, Chaos synchronization, Chaotic systems, Chaotization, Closed loop control systems, Computational methods, Computer simulation, Continuum mechanics, Feedback, Hamiltonians, Lyapunov methods, Mathematical models, Mathematical transformations, Matrix algebra, Nonlinear control systems, Polynomials, Problem solving, Robustness (control systems), Synchronization, Vectors, Anticontrol, Chaos theory