Synchronisation of complex dynamical networks with additive stochastic time-varying delays

Jing-Wen Yi, Yan-Wu Wang, Jiang-Wen Xiao and Yuehua Huang

International Journal of Systems Science, 2016, vol. 47, issue 5, 1221-1229

Abstract: In this letter, a class of complex dynamical networks with additive stochastic time-varying delays is investigated. Two kinds of delays in complex dynamical networks are taken into consideration, one is called the nodes-induced delay in this paper, and the other is the network-induced delay. Both of the delays are assumed to obey different stochastic distributions. By utilising a novel Lyapunov–Krasovskii functional and stochastic analysis techniques, a sufficient criterion is obtained in the form of linear matrix inequalities to ensure the synchronisation of the complex dynamical networks. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

Date: 2016
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DOI: 10.1080/00207721.2014.919426

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