Robust stability of uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms

Authors:
P. Balasubramaniam;M. Syed Ali
Affiliations:
Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamil Nadu, India;Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamil Nadu, India
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, the problem of global asymptotic stability for uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms is considered. Based on Lyapunov stability theory combined with linear matrix inequality (LMI) techniques some new stability criteria in terms of LMIs are derived by introducing some free weighting matrices which can be selected properly to lead much less conservative results. Finally three illustrative examples are given to demonstrate the effectiveness of the proposed stability results.