神经网络随机扰动稳定性研究
ON STABILITY STUDY OF NEURAL NETWORKS WITH RANDOM PERTURBATION
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摘要: 本文基于随机微分方程理论,严格地分析了一类广义的Hopfield连续时间神经网络在白噪声扰动下的稳定性,并建立了相应的稳定性判据和网络的设计准则。Abstract: Based on the theory of stochestic differential equation, the stability of a kind of generalized continuous-time Hopfield neural network with white noise perturbation is studied, and the related stability criteria and design requirements of neural networks are established.
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J. J. Hopfield, Proc. Natl. Acad. Sci. USA, 81 (1984) 3, 3088-3092.[2]A. N. Michel, J.A. Farrell, W. Porod, IEEE Trans, on CAS, CAS-36 (1989)2, 229-243.[3]J. Li, A. N. Michel, W. Porod, IEEE Trans. on CAS, CAS-36(1989)5, 713-731.[4]胡宣达,随机微分方程稳定性理论,南京大学出版社,南京,1986年,第63-135页. -
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