NEW CONDITIONS ON EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH TIME-VARYING DELAYS

- Journal title : Journal of the Korean Mathematical Society
- Volume 48, Issue 2, 2011, pp.223-240
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2011.48.2.223

Title & Authors

NEW CONDITIONS ON EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH TIME-VARYING DELAYS

Zhang, Zhengqiu; Zhou, Zheng;

Zhang, Zhengqiu; Zhou, Zheng;

Abstract

In this paper, the problem on periodic solutions of the bidirectional associative memory neural networks with both periodic coefficients and periodic time-varying delays is discussed. By using degree theory, inequality technique and Lyapunov functional, we establish the existence, uniqueness, and global asymptotic stability of a periodic solution. The obtained results of stability are less restrictive than previously known criteria, and the hypotheses for the boundedness and monotonicity on the activation functions are removed.

Keywords

periodic solution;BAM neural networks;global asymptotic stability;coincidence degree theory;Lyapunov functional;

Language

English

Cited by

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2.

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