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Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays
Wan, AH; Qiao, H; Peng, JG; Wang, MS
Source PublicationPHYSICS LETTERS A
2006-04-24
Volume353Issue:2-3Pages:151-157
SubtypeArticle
AbstractThe global exponential stability is investigated for a class of generalized Cohen-Grossberg neural networks with discrete delays. By means of the combination of the nonlinear measure approach and constructing a novel Lyapunov functional together with some nonlinear functional analysis and inequality techniques, general sufficient conditions are obtained for the existence, uniqueness and global exponential stability of equilibrium of the delayed neural networks, which are mild and independent of the delays. The new criteria do not require the boundedness, monotonicity and differentiability assumptions of the normal and the delayed activation functions. Our results generalize and improve many existing ones. (c) 2005 Elsevier B.V. All rights reserved.
KeywordCohen-grossberg Neural Networks Global Exponential Stability Discrete Delays Nonlinear Measure Lyapunov Functional
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordTRANSMISSION DELAYS ; GLOBAL STABILITY
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000236631400008
Citation statistics
Cited Times:18[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9374
Collection09年以前成果
Affiliation1.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
2.Xi An Jiao Tong Univ, Fac Sci, Inst Informat & Syst Sci, Xian 710049, Peoples R China
Recommended Citation
GB/T 7714
Wan, AH,Qiao, H,Peng, JG,et al. Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays[J]. PHYSICS LETTERS A,2006,353(2-3):151-157.
APA Wan, AH,Qiao, H,Peng, JG,&Wang, MS.(2006).Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays.PHYSICS LETTERS A,353(2-3),151-157.
MLA Wan, AH,et al."Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays".PHYSICS LETTERS A 353.2-3(2006):151-157.
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