神經(jīng)網(wǎng)絡(luò)隨機(jī)擾動(dòng)穩(wěn)定性研究
ON STABILITY STUDY OF NEURAL NETWORKS WITH RANDOM PERTURBATION
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摘要: 本文基于隨機(jī)微分方程理論,嚴(yán)格地分析了一類(lèi)廣義的Hopfield連續(xù)時(shí)間神經(jīng)網(wǎng)絡(luò)在白噪聲擾動(dòng)下的穩(wěn)定性,并建立了相應(yīng)的穩(wěn)定性判據(jù)和網(wǎng)絡(luò)的設(shè)計(jì)準(zhǔn)則。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]胡宣達(dá),隨機(jī)微分方程穩(wěn)定性理論,南京大學(xué)出版社,南京,1986年,第63-135頁(yè). -
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