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Modified projective synchronization of chaotic systems with disturbances via active sliding mode control. (English) Zbl 1221.37211

Summary: We apply the active sliding mode control technique to realize the modified projective synchronization of chaotic systems. The disturbances are considered both in the drive system and the response system. The sufficient conditions for the modified projective synchronization both the non-identical and identical chaotic systems are presented. The corresponding numerical simulations are provided to illuminate the effectiveness of the proposed active sliding mode controllers.

MSC:

37N35 Dynamical systems in control
93B12 Variable structure systems
34D06 Synchronization of solutions to ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
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