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Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems. (English) Zbl 1374.34240

Summary: In this paper, the issue of impulsive stabilization and synchronization of uncertain hyperchaotic systems with parameters perturbation is investigated. Applying the impulsive control theory, some less conservative and easily verified criteria for the stabilization and synchronization of hyperchaotic systems are derived. The control gains and impulsive intervals can be variable. Numerical simulations are shown to illustrate the feasibility of the proposed method.

MSC:

34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34H15 Stabilization of solutions to ordinary differential equations
34A37 Ordinary differential equations with impulses
34D10 Perturbations of ordinary differential equations

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