Geodesic
Synchronization of fractional-order chaotic systems with multiple delays by a new approach
Kybernetika, Tome 51 (2015) no. 6, pp. 1068-1083 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2015-6-1068
Classification : 34C15, 34D06, 34H10
Keywords: fractional-order; multiple delays; Lyapunov stable theorem; synchronization; unknown parameters 
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     title = {Synchronization of fractional-order chaotic systems with multiple delays by a new approach},
     journal = {Kybernetika},
     pages = {1068--1083},
     year = {2015},
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Hu, Jianbing; Wei, Hua; Zhao, Lingdong. Synchronization of fractional-order chaotic systems with multiple delays by a new approach. Kybernetika, Tome 51 (2015) no. 6, pp. 1068-1083. doi: 10.14736/kyb-2015-6-1068

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