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Synchronization control of partial-state-based neural networks: Event-triggered impulsive control with distributed actuation delay

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  • Liu, Zhengli
  • Luo, Mengzhuo
  • Cheng, Jun
  • Shi, Kaibo

Abstract

Within the framework of event-triggered impulsive control (ETIC), this paper delves into the synchronization of partial-state-based neural networks, meticulously considering the distributed actuation delay inherent to ETIC. By seamlessly integrating the Lyapunov-Razumikhin (L-R) technique with a dimension extension method, we articulate sufficient conditions for achieving synchronization in partially measurable states through linear matrix inequalities (LMIs), all while effectively circumventing Zeno behavior. Furthermore, an innovative partial-state-based event-triggered mechanism (ETC) is conceived to address network challenges arising from distributed actuation delay, incorporating a forced triggering strategy to ensure synchronization. Additionally, at each impulse instant, unmeasurable states can be elegantly complemented by their measurable counterparts through the design of an appropriate impulse gain matrix, without imposing any constraints on the number of unmeasurable states. Ultimately, two illustrative examples serve to underscore the efficacy of our principal findings.

Suggested Citation

  • Liu, Zhengli & Luo, Mengzhuo & Cheng, Jun & Shi, Kaibo, 2025. "Synchronization control of partial-state-based neural networks: Event-triggered impulsive control with distributed actuation delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    • Handle: RePEc:eee:phsmap:v:657:y:2025:i:c:s0378437124007374
    DOI: 10.1016/j.physa.2024.130228
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    References listed on IDEAS

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    1. Li, Mingyue & Wang, Mingzhu & Liu, Wenlu & Wu, Shuchen & Li, Xiaodi, 2023. "Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    2. Xie, Xiang & Li, Xiaodi & Liu, Xinzhi, 2023. "Event-triggered impulsive control for multi-agent systems with actuation delay and continuous/periodic sampling," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    3. Fang, Qi & Wang, Mingzhu & Li, Xiaodi, 2023. "Event-triggered distributed delayed impulsive control for nonlinear systems with applications to complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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