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Delayed impulsive control for synchronization of complex-valued stochastic complex network with unbounded delays under cyber attacks

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  • Chen, Zanbo
  • Huo, Chenxu
  • Zou, Xiaoling
  • Li, Wenxue

Abstract

In this paper, we study the synchronization of complex-valued stochastic complex networks (SCNs) with unbounded time delays via unbounded impulsive control under cyber attacks. This paper considers unbounded delays for the first time in complex networks. By the combination of Lyapunov–Razumikhin method and graph theory, several criteria for realizing pth moment exponential synchronization (PMES) can be obtained, which are associated with the intensity of impulsive control, unbounded time delays and cyber attacks. In the end, we search the PMES of a class of complex-valued stochastic coupled Chua’s circuit systems under network attacks to validate the reliability and effectiveness of the results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000778
    DOI: 10.1016/j.chaos.2024.114526
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    References listed on IDEAS

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    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
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    4. 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.
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