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Event-triggered distributed delayed impulsive control for nonlinear systems with applications to complex networks

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  • Fang, Qi
  • Wang, Mingzhu
  • Li, Xiaodi

Abstract

This paper studies the Lyapunov stability of general nonlinear systems and the synchronization of complex networks via event-triggered impulsive control (ETIC), where the distributed delayed impulses are fully considered. Some sufficient conditions are given to deal with the problem of Lyapunov stability for nonlinear systems and avoid Zeno behavior based on distributed delayed ETIC. Moreover, some relationships between the distributed delays in impulses, the triggering parameters, and the impulsive parameters are constructed. Then, as an application, we apply the above theoretical results to complex networks and design a kind of distributed delayed ETIC strategy to ensure synchronization of complex networks under distributed delayed ETIC. In the end, the validity of our proposed results is proved by two numerical examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008445
    DOI: 10.1016/j.chaos.2023.113943
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    References listed on IDEAS

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    1. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
    2. Zhang, Yinping & Sun, Jitao, 2009. "Robust synchronization of coupled delayed neural networks under general impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1476-1480.
    3. Hao, Zhang & Xing-yuan, Wang & Peng-fei, Yan & Yu-jie, Sun, 2020. "Combination synchronization and stability analysis of time-varying complex-valued neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Wang, Guancheng & Li, Qinrou & Liu, Shaoqing & Xiao, Hua & Zhang, Bob, 2022. "New zeroing neural network with finite-time convergence for dynamic complex-value linear equation and its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Sakthivel, Rathinasamy & Suveetha, V.T. & Nithya, Venkatesh & Sakthivel, Ramalingam, 2020. "Finite-time fault detection filter design for complex systems with multiple stochastic communication and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    6. Yuan, Manman & Luo, Xiong & Mao, Xue & Han, Zhen & Sun, Lei & Zhu, Peican, 2022. "Event-triggered hybrid impulsive control on lag synchronization of delayed memristor-based bidirectional associative memory neural networks for image hiding," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    7. Xi, Qiang & Liu, Xinzhi, 2020. "Mode-dependent impulsive control of positive switched systems: Stability and L1-gain analysis," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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