Delay-dependent stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with time-varying delays

Myeong Jin Park, Oh Min Kwon, Ju Hyun Park, Sang Moon Lee

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes delay-dependent stability conditions of the fuzzy Markovian jumping Hopfield neural networks of neutral type with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's (L-K) functional and utilizing Finsler's lemma, new delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. A numerical example is given to illustrate the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)376-382
Number of pages7
JournalTransactions of the Korean Institute of Electrical Engineers
Volume60
Issue number2
DOIs
StatePublished - Feb 2011

Keywords

  • Fuzzy systems
  • Hopfield neural networks
  • LMI
  • Lyapunov
  • Markovian jumping parameters
  • Method
  • Neutral systems
  • Time-varying delays

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