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Uncertain impulsive control for leader-following synchronization of complex networks

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  • He, Xinyi
  • Wang, Yuhan
  • Li, Xiaodi

Abstract

This paper is concerned with the synchronization of complex networks via impulsive control involving uncertain impulses. Based on Lyapunov method as well as impulsive control theory, designs of state feedback impulsive control and output feedback impulsive control are given in terms of linear matrix inequalities (LMIs), respectively. Compared with other existing results, it shows that even the real impulsive control is not activated at the pre-designed instants, the complex network can still be synchronized with its leader system, which indicates the great flexibility and robustness of the proposed synchronization schemes. A numerical example is given to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003349
    DOI: 10.1016/j.chaos.2021.110980
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Lingzhong & Lu, Jianquan & Jiang, Bangxin & Huang, Chi, 2023. "Distributed synchronization of delayed dynamic networks under asynchronous delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Zhang, Lingzhong & Zhong, Jie & Lou, Jungang & Liu, Yang & Lu, Jianquan, 2023. "Bipartite secure synchronization for dynamic networks under deception attacks via delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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