时延不对称Hopfield神经网络的稳定条件及其应用
STABILITY CONDITIONS OF ASYMMETRIC HOPFIELD NEURAL NETWORKS WITH TIME-DELAY AND ITS APPLICATION
-
摘要: 本文对具有时延的不对称Hopfield型神经网络平衡点的稳定性进行了分析,得到了网络平衡点全局渐近稳定的一些充分条件,最后我们说明了分析结果在网络设计和参数选择中的应用。
-
关键词:
- 神经网络; 时延; 全局渐近稳定性
Abstract: In this paper, the global asymptotic stability of equilibrium point for asymmetric Hopfield neural networks with time-delay is discussed, and the sufficient conditions for global asymptotic stability of the equilibrium point are obtained. Finally, the applications of these results in the design and the parameter selection of neural networks are illustrated. -
Marcus C M, Westervelt R M. Stability of analog neural networks with delay[J].Physical Review A.1989, 39(2):347-359[2]Denker J S. Neural networks for computing. in Proceeding of Conference of Nerual Networks for Computer, Berlin: 1986, 346-349.[3]Baldi P, Atiya A F. How delay affect neural dynamics and learning[J].IEEE Trans. on Nerual Networks.1994, 5(4):612-621[4]Civalleri P P, Gilli M. On stability of cellular neural networks with delay. IEEE Trans. on Circuits and Systems I. 1993, 40(2): 157-165.[5]阮明.具有时延的神经网络的稳定动力学行为分析.复旦学报,1995, 34(2): 121-126.[6]Ye H, Michel A N, Wang K. (qualitative analysis of Hopfield with delay, global and local results. Proc. IEEE Int. Symp. Circuits and Systems, New York: 1995, 12, 1136-1139.[7]Gopulsamy K, He X. Stability in asymmetric Hopfield net with transmission delay[J].Physica D.1994, 76(2):344-358[8]Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural networks[J].International Journal of System Science.1996, 27(2):227-231[9]陈亚军,等.不对称时延Hopfield神经网络的全局指数稳定性及收敛速度的估计.电子学报,已录用.[10]梁学斌,吴立德.Hopfeild型神经网络的全局指数稳定性及其应用.中国科学(A辑),1995, 25(5): 523-532.[11]Ye H, Michel A N, Wang K. Robust stability of nonlinear time-delay system with applications to neural netowrks[J].IEEE Trans. on Circuits and system.1996, 43(7):532-543
计量
- 文章访问数: 1972
- HTML全文浏览量: 144
- PDF下载量: 578
- 被引次数: 0