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Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. (English) Zbl 1253.93023

Summary: This paper is devoted to study the problem of modified projective synchronization of fractional-order chaotic system. Basing on stability theorems of fractional-order linear systems, an active sliding mode controller is proposed to synchronize two different fractional-order systems. Moreover, the controller is robust to bounded noise. Numerical simulations are provided to show the effectiveness of the analytical results.

MSC:

93B12 Variable structure systems
34H10 Chaos control for problems involving ordinary differential equations
34A08 Fractional ordinary differential equations
93B40 Computational methods in systems theory (MSC2010)
93B35 Sensitivity (robustness)
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