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Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes

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  • Yu, Tianhu
  • Cao, Dengqing
  • Yang, Yang
  • Liu, Shengqiang
  • Huang, Wenhu

Abstract

In this paper, the problem of designing the hybrid control for synchronization of impulsively coupled complex dynamical network is investigated. A general delayed impulsively coupled network with nonidentical nodes and parameter uncertainties is presented. Based on a time varying Lyapunov function associated with the impulsive time sequence and Razumikhin technique, a convex combination technique is employed to obtain the global synchronization criteria in terms of linear matrix inequalities. The derived sufficient conditions for synchronization are closely related to the coupling structure of the network, the lower and upper bound of the adjacent impulsive instant difference, and the impulsive control input strength. The control scheme can be obtained by solving a set of linear matrix inequalities. Typical numerical examples are presented to demonstrate the validity of the theoretical results and the effectiveness of the control strategy.

Suggested Citation

  • Yu, Tianhu & Cao, Dengqing & Yang, Yang & Liu, Shengqiang & Huang, Wenhu, 2016. "Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 92-101.
    • Handle: RePEc:eee:chsofr:v:87:y:2016:i:c:p:92-101
    DOI: 10.1016/j.chaos.2016.03.010
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    References listed on IDEAS

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    5. Yang, Xinsong & Huang, Chuangxia & Zhu, Quanxin, 2011. "Synchronization of switched neural networks with mixed delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 817-826.
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    Cited by:

    1. Yiping Luo & Yuejie Yao, 2019. "Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling," Complexity, Hindawi, vol. 2019, pages 1-14, December.
    2. Xuan, Deli & Tang, Ze & Feng, Jianwen & Park, Ju H., 2021. "Cluster synchronization of nonlinearly coupled Lur’e networks: Delayed impulsive adaptive control protocols," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Wenhua Xia & Yiping Luo & Bifeng Zhou & Guanghui Liu, 2017. "Exponential Synchronization of a Class of -Coupled Complex Partial Differential Systems with Time-Varying Delay," Complexity, Hindawi, vol. 2017, pages 1-9, October.
    4. Yang, Te & Wang, Zhen & Huang, Xia & Xia, Jianwei, 2022. "Sampled-data exponential synchronization of Markovian jump chaotic Lur'e systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Li, Jiarong & Jiang, Haijun & Hu, Cheng & Yu, Juan, 2018. "Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 291-305.
    6. Liangzhi Gan & Shuo Li & Na Duan & Xiangyong Kong, 2020. "Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-10, March.

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