期刊文献+

一类微分模型周期解的指数稳定性

Exponential stability of solutions for differential model
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摘要 使用不等式和李雅普诺夫函数方法,在简洁的假设条件下得到一类变时滞变系数的神经网络 模型周期解的存在唯一性与全局指数稳定性的结论.最后,用一个具体例子验证了理论的正确性. In this letter, by using the inequality method and the Lyapunov functional method, we have analyzed the globally exponential stability and the existence of periodic solutions of a class of cellular neutral networks with delays and variable coefficients. Some simple and new sufficient conditions ensuring the existence and uniqueness of globally exponential stability of periodic solutions for cellular neutral networks with variable coefficients and delays are obtained. In addition, one example is also worked out to illustrate our theory.
作者 李业联 吴磊
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期115-118,共4页 Journal of Lanzhou University(Natural Sciences)
关键词 不等式 全局指数稳定性 周期解 时滞 李雅普诺夫函数 inequality method global exponential stability periodic solution delays Lyapunov function
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参考文献9

  • 1Chua L O,Yang L.Circuits Systems[J].IEEE Trans,1988,35(10):1257-1265. 被引量:1
  • 2Cao J.Periodic oscillation and exponential stability of delayed CNNS[J].Phys Lett A,2000,270(3-4):157-166. 被引量:1
  • 3Chua L O,Yang L.Cellular neural networks:applications[J].IEEE Trans,1988,35(3):1273-1281. 被引量:1
  • 4Joy M.Results concerning the absolute stability of delayed neural network[J].Neural Networks,2000,13(6):613-616. 被引量:1
  • 5Cao Jinde.Globally exponential stability and periodic solutions of recurrent neural networks with delays[J].Phys Lett A,2002,298:393-404. 被引量:1
  • 6Rouche N,Habets P,Laloy M.Stability Theory by Lyaunov's Direct Method[M].NewYork:Springer,1977. 被引量:1
  • 7Grossman S E.Asymptotic behavior and exponential stability criteria for differential delay equations[J].J Diff Eqs,1972,12(4):236-255. 被引量:1
  • 8Hale J.Theory of functions differential equations[J].New York:Springer,1977. 被引量:1
  • 9Nussbaum R D.Periodic solutions of some nonlinear autonomous functional differential equations[J].Ann Math Pura Appl,1974,10(5):263-306. 被引量:1

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