Kybernetika 51 no. 6, 1068-1083, 2015

Synchronization of fractional-order chaotic systems with multiple delays by a new approach

Jianbing Hu, Hua Wei and Lingdong ZhaoDOI: 10.14736/kyb-2015-6-1068

Abstract:

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.

Keywords:

synchronization, fractional-order, multiple delays, Lyapunov stable theorem, unknown parameters

Classification:

34H10, 34C15, 34D06

paper.pdf

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