Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays

Authors:
Haibo Gu;Haijun Jiang;Zhidong Teng
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China
Venue:
Neurocomputing
Year:
2008

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Abstract

In this paper, a class of generalized bi-directional associative memory (BAM) neural networks with recent history distributed delays and impulses are considered. By using Lyapunov functional method and fixed point theorem, we derive several sufficient conditions for the existence and globally exponential stability of a unique periodic solution of the networks. The results of this paper are new and different from previously known results.