Asymptotic stability of BAM neural networks of neutral-type with impulsive effects and time delay in the leakage term

Authors:
P. Balasubramaniam;V. Vembarasan
Affiliations:
Department of Mathematics, Gandhigram Rural University, Dindigul, Tamilnadu, India;Department of Mathematics, Gandhigram Rural University, Dindigul, Tamilnadu, India
Venue:
International Journal of Computer Mathematics
Year:
2011

Citing 0
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Abstract

This paper presents asymptotic stability of bi-directional associative memory neural networks of the neutral-type with impulsive effects and time delay in the leakage term. Based on the topological degree theory, the Lyapunov method and the linear matrix inequality approach, some sufficient conditions are derived to ensure the existence, uniqueness and global asymptotic stability of the equilibrium point for the considered model. Finally, six numerical examples are given to illustrate the effectiveness and less conservatism of the derived results.