Knowledge Commons of Institute of Automation,CAS
Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions | |
Wan, AH; Wang, MS; Peng, J; Qiao, H | |
发表期刊 | PHYSICS LETTERS A |
2006-01-30 | |
卷号 | 350期号:1-2页码:96-102 |
文章类型 | Article |
摘要 | In 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. |
关键词 | Cohen-grossberg Neural Networks Exponential Stability Exponential Decay Estimate Nonlinear Measure |
WOS标题词 | Science & Technology ; Physical Sciences |
关键词[WOS] | ABSOLUTE STABILITY |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000234935400017 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/9371 |
专题 | 09年以前成果 |
作者单位 | 1.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 |
推荐引用方式 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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