具有时变时滞的中立型神经网络的稳定性分析  

Stability analysis of neutral neural networks with time-varying delays

作　　者：刘锦 赵维锐[1] LIU Jin;ZHAO Weirui(School of Science,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学理学院,武汉430070

出　　处：《华东师范大学学报（自然科学版）》2020年第4期35-44,共10页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(61573012);中央高校基本科研业务费专项资金(2018IB017)。

摘　　要：考虑了一类具有时变时滞的中立型神经网络.首先,利用同胚映射定理,证明了平衡点的存在唯一性.其次,通过构造Lyapunov泛函及利用Lyapunov稳定性理论,得到了平衡点全局渐近稳定的充分条件.与已有结论对比表明,针对某些系统,所得条件可作为判断其稳定性的依据.最后,通过几个数值模拟的例子验证了结论.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.

关 键 词：中立型系统 神经网络 时变时滞 全局渐近稳定性 

分 类 号：O193[理学—数学]