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Local H∞ synchronization of uncertain complex networks via non-fragile state feedback control

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  • Luo, Yiping
  • Deng, Fei
  • Ling, Zhaomin
  • Cheng, Zifeng

Abstract

This paper is concerned with local H∞ synchronization control of uncertain complex networks, in which there are nonlinear coupling functions between network nodes, and the coupling terms as well as network nodes are subject to time-varying delays. In order to make a complex network achieve H∞ synchronization, a non-fragile state feedback control scheme is used. By employing the Lyapunov functional method, a sufficient condition on the existence of H∞ non-fragile controllers is derived. This condition can not only guarantee the asymptotic stability of each network node, but also ensure a prescribed robust H∞ performance level for the synchronization error system under study. The effectiveness of the proposed method is finally verified through a numerical example.

Suggested Citation

  • Luo, Yiping & Deng, Fei & Ling, Zhaomin & Cheng, Zifeng, 2019. "Local H∞ synchronization of uncertain complex networks via non-fragile state feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 335-346.
    • Handle: RePEc:eee:matcom:v:155:y:2019:i:c:p:335-346
    DOI: 10.1016/j.matcom.2018.07.009
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    References listed on IDEAS

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    1. Huang, Chengdai & Cao, Jinde & Xiao, Min & Alsaedi, Ahmed & Hayat, Tasawar, 2017. "Bifurcations in a delayed fractional complex-valued neural network," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 210-227.
    2. Pruessner, G. & Cheang, S. & Jensen, H.J., 2015. "Synchronization by small time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 8-13.
    3. 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.
    4. Shi, Yanchao & Cao, Jinde & Chen, Guanrong, 2017. "Exponential stability of complex-valued memristor-based neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 222-234.
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    Cited by:

    1. Tai, Weipeng & Zuo, Dandan & Xuan, Zuxing & Zhou, Jianping & Wang, Zhen, 2021. "Non-fragile L2−L∞ filtering for a class of switched neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 629-645.
    2. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.

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