Attracting and quasi-invariant sets of non-autonomous neural networks with delays

Authors:
Daoyi Xu;Shujun Long
Affiliations:
Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China and College of Mathematics and Information Science, Leshan Teachers College, Leshan 614004, PR China
Venue:
Neurocomputing
Year:
2012

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Abstract

In this paper, a class of non-autonomous neural networks with delays is considered. By using the properties of spectral radius of nonnegative matrix, two new integral inequalities are established. Based on the integral inequalities, some new sufficient conditions for the existence of quasi-invariant and attracting sets of the non-autonomous neural networks with delays are obtained. The framework of the quasi-invariant and attracting sets is also given. The results extend and improve the earlier publications. One example is presented to illustrate the effectiveness of our conclusion.