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

Jianbing Hu;  Hua Wei;  Lingdong Zhao — 2015

Kybernetika

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.

Synchronization of fractional chaotic complex networks with delays

Jian-Bing Hu;  Hua Wei;  Ye-Feng Feng;  Xiao-Bo Yang — 2019

Kybernetika

The synchronization of fractional-order complex networks with delay is investigated in this paper. By constructing a novel Lyapunov-Krasovskii function V and taking integer derivative instead of fractional derivative of the function, a sufficient criterion is obtained in the form of linear matrix inequalities to realize synchronizing complex dynamical networks. Finally, a numerical example is shown to illustrate the feasibility and effectiveness of the proposed method.

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