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http://dx.doi.org/10.4134/JKMS.2011.48.2.223

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

Zhang, Zhengqiu (COLLEGE OF MATHEMATICS HUNAN UNIVERSITY)
Zhou, Zheng (COLLEGE OF MATHEMATICS HUNAN UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 223-240 More about this Journal
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;
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