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A critical analysis on global convergence of Hopfield-type neural networks

文献类型：期刊论文

作者Peng, JG; Xu, ZB; Qiao, H; Zhang, B
刊名IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
出版日期2005-04-01
卷号52期号:4页码:804-814
关键词attractive global convergence Hopfield-type neural networks stability analysis
ISSN号1057-7122
DOI10.1109/TCSI.2005.844366
英文摘要This paper deals with the global convergence and stability of the Hopfield-type neural networks under the critical condition that M-1 (Gamma) = L-1 D Gamma - (Gamma W + W(T)Gamma) / (2) is nonnegative for any diagonal matrix Gamma, where W is the eight matrix of the network, L = diag {L-1, L-2,..., L-N} with L-i being the Lipschitz constant of g(i) and G(u) = (g(1)(u(1)),g(2)(u(2)),...g(N)(u(N)))(T) is the activation mapping of the network. Many stability results have been obtained for the Hopfield-type neural networks in the noncritical case that M-1 (Gamma) is positive definite -for some positive definite diagonal matrix F. However, very few results are available on the global convergence and stability of the networks in the critical case. In this paper, by exploring two intrinsic features of the activation mapping, two generic global convergence results are established in the critical case for the Hopfield-type neural networks, which extend most of the previously known globally asymptotic stability criteria to the critical case. The results obtained discriminate the critical dynamics of the networks, and can be applied directly to a group of Hopfield-type neural network models. An example has also been presented to demonstrate both theoretical importance and practical significance of the critical results obtained.
WOS研究方向Engineering
语种英语
WOS记录号WOS:000228228200013
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/2132]  
专题应用数学研究所
通讯作者Peng, JG
作者单位1.Xian Jiaotong Univ, Fac Sci, Inst Informat & Syst Sci, Xian 710049, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
3.Univ Manchester, Sch Informat, Manchester M60 1QD, Lancs, England
4.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
5.Coventry Univ, Sch MIS, Coventry CV1 5FB, W Midlands, England
推荐引用方式
GB/T 7714		 Peng, JG,Xu, ZB,Qiao, H,et al. A critical analysis on global convergence of Hopfield-type neural networks[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2005,52(4):804-814.
APA Peng, JG,Xu, ZB,Qiao, H,&Zhang, B.(2005).A critical analysis on global convergence of Hopfield-type neural networks.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,52(4),804-814.
MLA Peng, JG,et al."A critical analysis on global convergence of Hopfield-type neural networks".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 52.4(2005):804-814.

入库方式： OAI收割

来源：数学与系统科学研究院

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