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Exponential consensus of stochastic discrete multi-agent systems under DoS attacks via periodically intermittent control: An impulsive framework

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  • Zhuang, Jiawei
  • Peng, Shiguo
  • Wang, Yonghua

Abstract

This article is devoted to investigating the exponential leader-following consensus (ELFC) of stochastic discrete multi-agent systems (SDMASs) in the presence of parameter uncertainties, nonlinearities, stochastic disturbances and denial-of-service (DoS) attacks. A novel control strategy, namely, periodically intermittent impulsive control (PIIC), is designed to cut down unnecessary communication costs and maintain the well-pleasing performance, where the impulsive instants only appear at control windows. Specifically, we explore the ELFC of SDMASs without DoS attacks via the PIIC strategy. The relation among the control period, the control width and the impulsive interval is derived by mean of utilizing the Lyapunov method and the linear matrix inequality technique. Besides, for SDMASs under DoS attacks, the following results are obtained: 1) under reasonable assumption that adversaries fail to work persistently within given intervals, a sufficient criterion is derived to ensure the ELFC of SDMASs; 2) the control rate is derived associated with the impulsive interval, the impulsive gain, the DoS attack ratio and the attack intensity; and 3) the novel protocol can achieve ELFC and cut down control costs effectively. More interestingly, a novel concept of periodic window-based average impulsive interval is proposed to make our developed criteria less conservative. Finally, simulation examples are demonstrated to certify the applicability of PIIC and the effectiveness of our main results.

Suggested Citation

  • Zhuang, Jiawei & Peng, Shiguo & Wang, Yonghua, 2022. "Exponential consensus of stochastic discrete multi-agent systems under DoS attacks via periodically intermittent control: An impulsive framework," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    • Handle: RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004635
    DOI: 10.1016/j.amc.2022.127389
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    References listed on IDEAS

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    1. Yang, Jian & Fečkan, Michal & Wang, JinRong, 2021. "Consensus Problems of Linear Multi-agent Systems involving Conformable Derivative," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Tan, Lihua & Li, Chuandong & Huang, Junjian & Huang, Tingwen, 2021. "Output feedback leader-following consensus for nonlinear stochastic multiagent systems: The event-triggered method," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    3. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2021. "Secure synchronization of complex networks under deception attacks against vulnerable nodes," Applied Mathematics and Computation, Elsevier, vol. 399(C).
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    Cited by:

    1. Li, Shenshen & Du, Haibo & Chen, Weile & Zhu, Wenwu, 2024. "Design of non-smooth consensus protocol for multi-agent systems under DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    2. Rongtao Chen & Shiguo Peng, 2023. "Leader-Follower Quasi-Consensus of Multi-Agent Systems with Packet Loss Using Event-Triggered Impulsive Control," Mathematics, MDPI, vol. 11(13), pages 1-15, July.
    3. Ren, Yue & Jiang, Haijun & Hu, Cheng & Li, Xinman & Qin, Xuejiao, 2023. "Discontinuous control for exponential synchronization of complex-valued stochastic multi-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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