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Finite-time chaos synchronization of a new hyperchaotic Lorenz system. (English) Zbl 1267.93157

Summary: This paper deals with the finite-time chaos synchronization of a new hyperchaotic Lorenz system. Based on the finite-time stability theory, a simple and robust controller is proposed to realize finite-time chaos synchronization for the hyperchaotic Lorenz system. Theoretical analysis proved that the scheme can ensure the error system globally finite-time stable. Numerical simulations are provided to show the effectiveness of the proposed schemes.

MSC:

93D21 Adaptive or robust stabilization
93D30 Lyapunov and storage functions
34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
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