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Complete and lag synchronization of hyperchaotic systems using small impulses. (English) Zbl 1129.93508

Summary: The complete synchronization and lag synchronization of the hyperchaotic systems are restated as the impulsive control issues. Some simple and easy-to-be-verified stability criteria for impulsive control systems are derived, and then applied to synchronize and lag-synchronize the hyperchaotic Chua’s oscillators. Moreover, the boundaries of the stable regions are also estimated. Some computer simulations illustrate the effectiveness of our results.

MSC:

93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
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