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

Cheng Hu, Xuehui Mei, Juan Yu and Haijun Jiang

Chaos, Solitons & Fractals, 2014, vol. 62-63, 10-22

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.

Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:62-63:y:2014:i::p:10-22

DOI: 10.1016/j.chaos.2014.02.006

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