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Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions
Wan, AH; Wang, MS; Peng, J; Qiao, H
Source PublicationPHYSICS LETTERS A
2006-01-30
Volume350Issue:1-2Pages:96-102
SubtypeArticle
AbstractIn this Letter, the dynamics of Cohen-Grossberg neural networks model are investigated. The activation functions are only assumed to be Lipschitz continuous, which provide a much wider application domain for neural networks than the previous results. By means of the extended nonlinear measure approach, new and relaxed sufficient conditions for the existence, uniqueness and global exponential stability of equilibrium of the neural networks are obtained. Moreover, an estimate for the exponential convergence rate of the neural networks is precisely characterized. Our results improve those existing ones. (c) 2005 Elsevier B.V. All rights reserved.
KeywordCohen-grossberg Neural Networks Exponential Stability Exponential Decay Estimate Nonlinear Measure
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordABSOLUTE STABILITY
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000234935400017
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9371
Collection09年以前成果
Affiliation1.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
2.Xian Jiaotong Univ, Fac Sci, Inst Informat & Syst Sci, Xian 710049, Peoples R China
Recommended Citation
GB/T 7714
Wan, AH,Wang, MS,Peng, J,et al. Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions[J]. PHYSICS LETTERS A,2006,350(1-2):96-102.
APA Wan, AH,Wang, MS,Peng, J,&Qiao, H.(2006).Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions.PHYSICS LETTERS A,350(1-2),96-102.
MLA Wan, AH,et al."Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions".PHYSICS LETTERS A 350.1-2(2006):96-102.
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