具时滞的Hopfield网络周期解的指数稳定性

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 292-300.

具时滞的Hopfield网络周期解的指数稳定性

Department of Mathematics,Xiangnan University

收稿日期:2005-12-01 出版日期:2008-06-30 发布日期:2023-10-09
作者简介: XIANG Hong-jun(1967-), male, native of Dongkou, Hunan, an associate professor of Xiangnan University, M.S.D., engages in neural networks; WANG Jin-hua(1968-), female, native of Linling, Hunan, an associate professor of Xiangnan University, M.S.D., engages in neural networks.
基金资助:
Supported by the National Science Foundation of Hunan Provincial Education Department(06C792; 07C700)

Exponential Stability of Periodic Solution for Delayed Hopfield Networks

Department of Mathematics,Xiangnan University

Received:2005-12-01 Online:2008-06-30 Published:2023-10-09
About author: XIANG Hong-jun(1967-), male, native of Dongkou, Hunan, an associate professor of Xiangnan University, M.S.D., engages in neural networks; WANG Jin-hua(1968-), female, native of Linling, Hunan, an associate professor of Xiangnan University, M.S.D., engages in neural networks.
Supported by:
Supported by the National Science Foundation of Hunan Provincial Education Department(06C792; 07C700)

摘要/Abstract

摘要： The paper is devoted to periodic attractor of delayed Hopfield neural networks with time-varying. By constructing Lyapunov functionals and using inequality techniques, some new suffcient criteria are obtained to guarantee the existence and global exponential stability of periodic attractor. Our results improve and extend some existing ones in [13～14]. One example is also worked out to demonstrate the advantages of our results.

关键词: Hopfield neural networks, global exponential stability, Lyapunov functional:
periodic solution

Abstract: The paper is devoted to periodic attractor of delayed Hopfield neural networks with time-varying. By constructing Lyapunov functionals and using inequality techniques, some new suffcient criteria are obtained to guarantee the existence and global exponential stability of periodic attractor. Our results improve and extend some existing ones in [13～14]. One example is also worked out to demonstrate the advantages of our results.

Key words: Hopfield neural networks, global exponential stability, Lyapunov functional:
periodic solution

中图分类号:

O175.7

向红军, 王金华 . 具时滞的Hopfield网络周期解的指数稳定性[J]. 数学季刊, 2008, 23(2): 292-300.

XIANG Hong-jun, WANG Jin-hua. Exponential Stability of Periodic Solution for Delayed Hopfield Networks [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 292-300.

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