Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (4): 35-44.doi: 10.3969/j.issn.1000-5641.201911016

• Mathematics • Previous Articles     Next Articles

Stability analysis of neutral neural networks with time-varying delays

LIU Jin, ZHAO Weirui   

  1. School of Science, Wuhan University of Technology, Wuhan 430070, China
  • Received:2019-03-27 Published:2020-07-20

Abstract: In this paper, a class of neutral neural networks with time-varying delays was considered. First, the existence and uniqueness of equilibrium was obtained using the homeomorphic mapping theorem. Next, by constructing the corresponding Lyapunov functional and using Lyapunov stability theory, sufficient conditions for the global asymptotic stability of equilibrium were established. A comparison between our results and the existing results was made, revealing that our results can be used as criteria for judging the stability of some systems. Lastly, several numerical simulations were carried out to illustrate the results.

Key words: neutral system, neural network, time-varying delays, global asymptotic stability

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