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Keywords:
fractional-order; multiple delays; Lyapunov stable theorem; synchronization; unknown parameters
fractional-order; multiple delays; Lyapunov stable theorem; synchronization; unknown parameters
Summary:
In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.
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