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

Zhengqiu Zhang|Zheng Zhou
대한수학회 (The Korean Mathematical Society)|2011.03|대한수학회지 (Journal of the KMS)|제48권 제2호|pp. 223-240

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키워드

periodic solutionLyapunov functionalglobal asymptotic stabilitycoincidence degree theoryBAM neural networks
주제분류수학

초록

In this paper, the problem on periodic solutions of the bidi-rectional associative memory neural networks with both periodic coef-cients 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 solu-tion. 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.

Abstract

In this paper, the problem on periodic solutions of the bidi-rectional associative memory neural networks with both periodic coef-cients 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 solu-tion. 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.

참고문헌 (22)

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