Exponential Stability of Periodic Solution for Delayed Hopfield Networks

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 292-300.

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)

Abstract

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

CLC Number:

O175.7

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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Exponential Stability of Periodic Solution for Delayed Hopfield Networks

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