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Parameters identification and synchronization of chaotic systems based upon adaptive control. (English) Zbl 0996.93016

Summary: A novel control method is proposed for a class of chaotic systems dependent linearly on unknown parameters based upon adaptive control. With this method parameter identification and synchronization of chaotic systems can be achieved simultaneously. Simulation results with Lorenz system and Chen’s system are presented to show the effectiveness of the approach.

MSC:

93B30 System identification
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C10 Nonlinear systems in control theory
37N35 Dynamical systems in control
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