Improved exponential stability analysis for delayed recurrent neural networks

Magdi S. Mahmoud, Yuanqing Xia

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

In this paper, we investigate the problem of global exponential stability analysis for a class of delayed recurrent neural networks. This class includes Hopfield neural networks and cellular neural networks with interval time-delays. Improved exponential stability condition is derived by employing new LyapunovKrasovskii functional and the integral inequality. The developed stability criteria are delay dependent and characterized by linear matrix inequalities (LMIs). The developed results are less conservative than previous published ones in the literature, which are illustrated by representative numerical examples.

Original languageEnglish
Pages (from-to)201-211
Number of pages11
JournalJournal of the Franklin Institute
Volume348
Issue number2
DOIs
Publication statusPublished - Mar 2011

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