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Finite-time uniform stability of functional differential equations with applications in network synchronization control

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  • Hu, Cheng
  • Mei, Xuehui
  • Yu, Juan
  • Jiang, Haijun

Abstract

In this paper, we investigate finite-time uniform stability of functional differential equations with applications in network synchronization control. First, a Razumikhin-type theorem is derived to ensure finite-time uniform stability of functional differential equations. Based on the theoretical results, finite-time uniform synchronization is proposed for a class of delayed neural networks and delayed complex dynamical networks by designing nontrivial and simple control strategies and some novel criteria are established. Especially, a feasible region of the control parameters for each neuron is derived for the realization of finite-time uniform synchronization of the addressed neural networks, which provide a great convenience for the application of the theoretical results. Finally, two numerical examples with numerical simulations are provided to show the effectiveness and feasibility of the theoretical results.

Suggested Citation

  • Hu, Cheng & Mei, Xuehui & Yu, Juan & Jiang, Haijun, 2014. "Finite-time uniform stability of functional differential equations with applications in network synchronization control," Chaos, Solitons & Fractals, Elsevier, vol. 62, pages 10-22.
    • Handle: RePEc:eee:chsofr:v:62-63:y:2014:i::p:10-22
    DOI: 10.1016/j.chaos.2014.02.006
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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. He, Xinyi & Li, Xiaodi & Nieto, Juan J., 2021. "Finite-time stability and stabilization for time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.

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