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Zeitschrift für Analysis und ihre Anwendungen


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Volume 24, Issue 2, 2005, pp. 419–429
DOI: 10.4171/ZAA/1249

Published online: 2005-06-30

Global Asymptotic Stability of High-Order Delay Hopfield Neural Networks with Time-Varying Coefficients

PEIGUANG WANG[1], HAIRONG LIAN[2] and Yonghong Wu[3]

(1) Hebei University, Baoding, China
(2) Beijing Institute of Technology, China
(3) Curtin University of Technology, Perth, Australia

The problem of global asymptotic stability of the high-order delay neural networks with time-varying coefficients is investigated. Sufficient conditions are obtained for the existence and global asymptotic stability of the equilibrium of such neural networks by using Brouwer's fixed point theorem and Liapunov method.

Keywords: High-order delay, Hopfield neural networks, global asymptotic stability, Liapunov functional, time-varying coefficients

WANG PEIGUANG, LIAN HAIRONG, Wu Yonghong: Global Asymptotic Stability of High-Order Delay Hopfield Neural Networks with Time-Varying Coefficients. Z. Anal. Anwend. 24 (2005), 419-429. doi: 10.4171/ZAA/1249