Leakage Delays in T---S Fuzzy Cellular Neural Networks

Authors:
P. Balasubramaniam;V. Vembarasan;R. Rakkiyappan
Affiliations:
Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, India 624 302;Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, India 624 302;Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, India 624 302
Venue:
Neural Processing Letters
Year:
2011

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Abstract

In this paper, the Takagi---Sugeno (T---S) fuzzy model representation is extended to the stability analysis for cellular neural networks (CNNs) with mixed time-varying delays and time delay in the leakage term via the delay decomposition approach. First, a sufficient condition is given to ensure the existence and uniqueness of equilibrium point by using topological degree theory. Then, we present global asymptotic stability of equilibrium point by using linear matrix inequality (LMI) approach and by constructing an augmented Lyapunov---Krasovskii functional (ALKF) together with convex combination method. The proposed results can be easily solved by some standard numerical packages. Finally, four numerical examples are given to demonstrate the effectiveness and conservativeness of our proposed results.