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Synchronization of an uncertain unified chaotic system via adaptive control. (English) Zbl 1005.93020

The authors are deeply involved in the study of chaotic systems. In the present paper they develop a new approach combining both parameters identification (initial and master-slave) and chaos synchronization, which works for a large class of uncertain chaotic systems. The main idea of the paper is to force the response of the slave system to synchronize with the master system, where the slave system receives driving signals from the master system, for uncertain chaotic systems.

MSC:

93C10 Nonlinear systems in control theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C40 Adaptive control/observation systems
93A13 Hierarchical systems
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References:

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