Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays

Authors:
M. Syed Ali;P. Balasubramaniam
Affiliations:
Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamilnadu, India;Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamilnadu, India
Venue:
Expert Systems with Applications: An International Journal
Year:
2009

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Abstract

In this paper, the Takagi-Sugeno (TS) fuzzy model representation is extended to the stability analysis for uncertain Cohen-Grossberg type bidirectional associative memory (BAM) neural networks with time-varying delays using linear matrix inequality (LMI) theory. A novel LMI-based stability criterion is obtained by using LMI optimization algorithms to guarantee the asymptotic stability of uncertain Cohen-Grossberg BAM neural networks with time varying delays which are represented by TS fuzzy models. Finally, the proposed stability conditions are demonstrated with numerical examples.