Stability for neural networks with time-varying delays via some new approaches

Oh Min Kwon, Myeong Jin Park, Sang Moon Lee, Ju H. Park, Eun Jong Cha

Research output: Contribution to journalArticlepeer-review

223 Scopus citations

Abstract

This paper considers the problem of delaydependent stability criteria for neural networks with timevarying delays. First, by constructing a newly augmented Lyapunov-Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities. Second, by proposing novel activation function conditions which have not been proposed so far, further improved stability criteria are proposed. Finally, three numerical examples used in the literature are given to show the improvements over the existing criteria and the effectiveness of the proposed idea.

Original languageEnglish
Article number6376233
Pages (from-to)181-193
Number of pages13
JournalIEEE Transactions on Neural Networks and Learning Systems
Volume24
Issue number2
DOIs
StatePublished - Feb 2013

Keywords

  • Lyapunov method
  • Neural networks
  • Stability
  • Time-varying delays

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