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Secure synchronization of complex networks under deception attacks against vulnerable nodes

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  • Ding, Dong
  • Tang, Ze
  • Wang, Yan
  • Ji, Zhicheng

Abstract

Secure synchronization for a class of nonlinearly coupled complex networks with deception attacks is investigated in this paper. False data caused by deception attacks is assumed to be injected into both the sensor-to-controller channels and the controller-to-actuator channels, which is modelled by Bernoulli stochastic variable. A distributed controller combined with impulsive protocol is applied for realizing the secure synchronization. By jointly applying the definition of average impulsive gain, the definition of average impulsive interval and the Lyapunov stability theorem, sufficient criteria are obtained to ensure the secure synchronization within the given error bound. In addition, pinning impulsive method is proposed to describe the attacks on vulnerable systems in complex networks, therefore, the theorem is extended to a less conservative situation. Finally, two numerical examples are presented to illustrate the effectiveness of theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000655
    DOI: 10.1016/j.amc.2021.126017
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    References listed on IDEAS

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    Cited by:

    1. Feng, Likang & Zhang, Weihai & Wu, Zhaojing, 2023. "Noise-to-state stability of random impulsive delay systems with multiple random impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
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    4. 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).

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