Novel robust exponential stability criteria for neural networks

Magdi S. Mahmoud*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This paper investigates the problem of robust global exponential stability analysis for uncertain neural networks with interval time-varying delays. The time-delay pattern is quite general and including fast time-varying delays. The values of the time-varying uncertain parameters are assumed to be bounded within given compact sets. The activation functions are monotone nondecreasing with known lower and upper bounds. Novel stability criteria are developed by employing new Lyapunov-Krasovskii functional and the integral inequality. The developed stability criteria are delay dependent and characterized by linear matrix inequalities (LMIs)-based conditions. The developed stability results are less conservative than previous published ones in the literature, which is illustrated by a representative numerical example.

Original languageEnglish
Pages (from-to)331-335
Number of pages5
JournalNeurocomputing
Volume73
Issue number1-3
DOIs
StatePublished - Jan 2009

Keywords

  • Global exponential stability
  • Interval time-varying delay
  • LMIs
  • Neural networks (NNs)

ASJC Scopus subject areas

  • Computer Science Applications
  • Cognitive Neuroscience
  • Artificial Intelligence

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