A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks

Shengyuan Xu, James Lam, Daniel W.C. Ho

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

193 Citations (Scopus)

Abstract

In this paper, a new delay-dependent asymptotic stability condition for delayed Hopfield neural networks is given in terms of a linear matrix inequality, which is less conservative than existing ones in the literature. This condition guarantees the existence of a unique equilibrium point and its global asymptotic stability of a given delayed Hopfield neural network. Examples are provided to show the reduced conservatism of the proposed condition. © 2006 IEEE.
Original languageEnglish
Pages (from-to)230-234
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume53
Issue number3
DOIs
Publication statusPublished - Mar 2006

Research Keywords

  • Global asymptotic stability
  • Hopfield neural networks
  • Linear matrix inequality
  • Time delays

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