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Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control

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  • Meng, Liang
  • Bao, Haibo

Abstract

This paper investigates the synchronization problem of delayed complex dynamical networks (DCDNs) with actuator failure under dynamical event-triggered pinning control (ETPC). Firstly, the fault-tolerant control system (FTCS) based on pinning control is introduced for DCDNs with time-varying actuator faults, which can reduce the cost of synchronization control. By setting internal dynamical variables, a new event-triggered control (ETC) strategy is designed. Then, it is proved that this control scheme can not only ensure global exponential synchronization of DCDNs based on Lyapunov theory, but also effectively avoid Zeno behavior and can reduce the burden on networks communication. At last, a simulation example verifies the reliability of the introduced dynamical ETPC strategy.

Suggested Citation

  • Meng, Liang & Bao, Haibo, 2022. "Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    • Handle: RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122007038
    DOI: 10.1016/j.physa.2022.128138
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    References listed on IDEAS

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    1. Wang, Mengchen & Lu, Xiaowen & Yang, Qi & Ma, Zhongjun & Cheng, Jun & Li, Kezan, 2022. "Pinning control of successive lag synchronization on a dynamical network with noise perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Kaneba, Christopher Munyiwa & Mu, Xiaowu & Li, Xin & Wu, Xihui, 2022. "Event triggered control for fault tolerant control system with actuator failure and randomly occurring parameter uncertainty," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    3. Fang Liu & Qiang Song & Jinde Cao & Jianquan Lu, 2014. "Pinning Synchronization of One-Sided Lipschitz Complex Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, April.
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