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

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  • Jing-Wen Yi
  • Yan-Wu Wang
  • Jiang-Wen Xiao
  • Yuehua Huang

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.

Suggested Citation

  • Jing-Wen Yi & Yan-Wu Wang & Jiang-Wen Xiao & Yuehua Huang, 2016. "Synchronisation of complex dynamical networks with additive stochastic time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1221-1229, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1221-1229
    DOI: 10.1080/00207721.2014.919426
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    1. Wang, Zidong & Shu, Huisheng & Liu, Yurong & Ho, Daniel W.C. & Liu, Xiaohui, 2006. "Robust stability analysis of generalized neural networks with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 886-896.
    2. Liu, Hui & Chen, Juan & Lu, Jun-an & Cao, Ming, 2010. "Generalized synchronization in complex dynamical networks via adaptive couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1759-1770.
    3. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
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    2. Chen, Zanbo & Huo, Chenxu & Zou, Xiaoling & Li, Wenxue, 2024. "Delayed impulsive control for synchronization of complex-valued stochastic complex network with unbounded delays under cyber attacks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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