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Finite-time synchronization of impulsive stochastic systems with DoS attacks via dynamic event-triggered control

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  • Xing, Xiaofei
  • Wu, Huaiqin
  • Cao, Jinde

Abstract

This paper is concerned with the finite-time synchronization (FTS) issue for stochastic complex networks (SCNs) with/without time-delay under impulsive effects subject to denial of service (DoS) attacks. Firstly, a novel distributed dynamic event-triggered controller (DETC) is designed to realize the FTS for SCNs without delays, and the FTS conditions are addressed in the form of the algebraic inequalities. The Zeno behavior can be excluded for the proposed dynamic event-triggered mechanism (DETM). Secondly, a new feedback controller is designed to achieve the FTS for SCNs with time-varying delay. In addition, by applying Lyapunov stability theory and stochastic analysis technology, the FTS conditions are derived. Finally, two numerical examples are provided to illustrate the feasibility of the designed control strategies and the correctness of the stated theoretical results.

Suggested Citation

  • Xing, Xiaofei & Wu, Huaiqin & Cao, Jinde, 2024. "Finite-time synchronization of impulsive stochastic systems with DoS attacks via dynamic event-triggered control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 573-593.
    • Handle: RePEc:eee:matcom:v:219:y:2024:i:c:p:573-593
    DOI: 10.1016/j.matcom.2023.12.041
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    References listed on IDEAS

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    1. M. Sathishkumar & Yen-Chen Liu, 2022. "Resilient adaptive event-triggered dissipative control for networked control systems with DoS attacks," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(7), pages 1562-1578, May.
    2. Quanyu Bai & Wei Zhu, 2022. "Event-Triggered Impulsive Optimal Control for Continuous-Time Dynamic Systems with Input Time-Delay," Mathematics, MDPI, vol. 10(2), pages 1-16, January.
    3. Li, Xinna & Wu, Huaiqin & Cao, Jinde, 2023. "Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 647-668.
    4. Yong Tang & Lang Zhou & Jiahui Tang & Yue Rao & Hongguang Fan & Jihong Zhu, 2023. "Hybrid Impulsive Pinning Control for Mean Square Synchronization of Uncertain Multi-Link Complex Networks with Stochastic Characteristics and Hybrid Delays," Mathematics, MDPI, vol. 11(7), pages 1-18, April.
    5. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.
    6. Zheng, Bibo & Wang, Zhanshan, 2022. "Mittag-Leffler synchronization of fractional-order coupled neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
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