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Impulsive control and synchronization of a new unified hyperchaotic system with varying control gains and impulsive intervals. (English) Zbl 1267.34028
Summary: In this paper, we investigate the impulsive control and synchronization of a new unified hyperchaotic system. This new system unifies both the hyperchaotic Lorenz system and the hyperchaotic Chen system. Some conditions are given to guarantee the global asymptotic stability of the controlled and synchronized system. The control gains and impulsive intervals are both variable. Moreover, we estimate the upper bound of impulsive interval for stable control and synchronization. Simulations are included to show the effectiveness of the theoretical results.

MSC:
34A37 Ordinary differential equations with impulses
93C15 Control/observation systems governed by ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
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