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Fixed points and exponential stability for uncertain stochastic neural networks with multiple mixed time-delays

  • Guangdong University of Technology
  • South China University of Technology
  • Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer)Articlepeer-review

Abstract

In this paper we study the stability of a stochastic neural networks with parameter uncertainties and multiple time delays dx = [(A +A(t))x(t) + (B +B(t))f(t, x(t), x(t 1(t)), . . . , x(t m(t))) + Pk p=1(Wp +Wp(t)) R t tp(t) gp(x(s))ds]dt + Pl j=1 hj(t, x(t), x(t j (t)))dw(t). Using fixed point theory and a linear matrix inequality(LMI), we obtain new criteria for exponential stability in mean square of the considered uncertain stochastic neural networks with multiple mixed time-delays.

Original languageEnglish
Pages (from-to)191-208
Number of pages18
JournalCommunications in Applied Analysis
Volume19
Publication statusPublished - 2015

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