Synchronization of fractional chaotic complex networks with delays

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

Kybernetika, Tome 55 (2019) no. 1, pp. 203-215

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2019-1-0203

Classification : 34D06, 93D05
Keywords: fractional complex networks; delays; Lyapunov-Krasovskii theorem; synchronization

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