Global exponential stability of impulsive BAM neural networks with distributed delays

Authors:
Jie Zhou;Shuyong Li
Affiliations:
College of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, PR China and College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, PR C ...;College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, PR China
Venue:
Neurocomputing
Year:
2009

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Abstract

In this paper, the existence and uniqueness, and the global exponential stability (GES) of equilibrium point of a impulsive BAM neural networks with distributed delays are considered. Here we point out, different from previous methods, we do not construct Lyapunov functional or use the properties of nonsingular M-matrix. We use some basic analytical technique, such as contraction mapping principle and differential inequality technique to obtain our results. It is shown that, in some case, the stability criteria can be easily checked. Several remarks are worked out to demonstrate the advantage of our results.