Stability analysis of static recurrent neural networks with interval time-varying delay

Jian Sun*, Jie Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)

Abstract

The problem of stability analysis of static recurrent neural networks with interval time-varying delay is investigated in this paper. A new Lyapunov functional which contains some new double integral and triple integral terms are introduced. Information about the lower bound of the delay is fully used in the Lyapunov functional. Integral and double integral terms in the derivative of the Lyapunov functional are divided into some parts to get less conservative results. Some sufficient stability conditions are obtained in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)111-120
Number of pages10
JournalApplied Mathematics and Computation
Volume221
DOIs
Publication statusPublished - 2013

Keywords

  • Delay-dependent stability
  • Interval time-varying delay
  • Linear matrix inequality
  • Static recurrent neural network

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