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Synchronization of complex dynamical networks subjected to actuator faults and periodic scaling attacks using probabilistic time-varying delays

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  • Sakthivel, N.

Abstract

In this paper, the synchronization problem of complex dynamical networks (CDNs) subjected to actuator faults and periodic scaling attacks using probabilistic time-varying delays is investigated. In order to handle the fault effects in actuators of proposed complex networks, an actuator fault model is considered. The major objective of this paper is to construct a memory state feedback controller with time-varying actuator faults that are asymptotically synchronized in the mean square sense to defend against periodic scaling attacks. By establishing suitable Lyapunov-Krasovskii functionals and applying Wirtinger-based integral inequality, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for the proposed system. Moreover, a time-varying delay is supposed to depend on probabilistic distribution conditions. Thus, the resulting criteria that emerge are based on the amount of the delay as well as the probability that the delay will have values at certain intervals. At last, the efficiency of our proposed work is demonstrated by two numerical simulations.

Suggested Citation

  • Sakthivel, N., 2023. "Synchronization of complex dynamical networks subjected to actuator faults and periodic scaling attacks using probabilistic time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003879
    DOI: 10.1016/j.chaos.2023.113486
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    References listed on IDEAS

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    1. Yuan, Manman & Wang, Weiping & Luo, Xiong & Liu, Linlin & Zhao, Wenbing, 2018. "Finite-time anti-synchronization of memristive stochastic BAM neural networks with probabilistic time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 244-260.
    2. R. Sakthivel & R. Sakthivel & P. Selvaraj & Faris Alzahrani & S. Marshal Anthoni, 2021. "Robust non-fragile memory feedback control for multi-weighted complex dynamical networks with randomly occurring gain fluctuations," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(12), pages 2597-2616, September.
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    4. B. Kaviarasan & R. Sakthivel & Y. Shi, 2016. "Reliable dissipative control of high-speed train with probabilistic time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3940-3951, December.
    5. 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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