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LMI-based exponential stability criterion for bidirectional associative memory neural networks

  • Magdi S. Mahmoud*
  • , Yuanqing Xia
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

In this paper, we investigate the problem of global exponential stability analysis for a class of bidirectional associative memory (BAM) neural networks with interval time-delays. Improved exponential stability condition is derived by employing new Lyapunov-Krasovskii functional and the integral inequality. Several special cases of interest are derived. The developed stability criteria are delay dependent and characterized by linear matrix inequalities (LMIs). The developed results are shown to be less conservative than previous published ones in the literature. Finally, simulations of two numerical examples are provided to demonstrate the efficacy of our approach.

Original languageEnglish
Pages (from-to)284-290
Number of pages7
JournalNeurocomputing
Volume74
Issue number1-3
DOIs
StatePublished - Dec 2010

Keywords

  • BAM neural networks
  • Global exponential stability
  • Interval time-delays
  • LMIs

ASJC Scopus subject areas

  • Computer Science Applications
  • Cognitive Neuroscience
  • Artificial Intelligence

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