UM
Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions
Song X.; Xin X.; Huang W.
2012
Source PublicationNeural Networks
ISSN8936080
Volume29-30Pages:80
AbstractThe paper discusses exponential stability of distributed delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions. By relative nonlinear measure method, some novel criteria are obtained for the uniqueness and exponential stability of the equilibrium point. Our method abandons usual assumptions on global Lipschitz continuity, boundedness and monotonicity of activation functions. Our results are generalization and improvement of some existing ones. Finally, two examples and their simulations are presented to illustrate the correctness of our analysis. © 2012 Elsevier Ltd.
KeywordCellular neural networks Distributed delays Exponential stability Partial Lipschitz continuity Relative nonlinear measure
DOI10.1016/j.neunet.2012.01.006
URLView the original
Language英语
The Source to ArticleScopus
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Cited Times [WOS]:34   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
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GB/T 7714
Song X.,Xin X.,Huang W.. Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions[J]. Neural Networks,2012,29-30:80.
APA Song X.,Xin X.,&Huang W..(2012).Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions.Neural Networks,29-30,80.
MLA Song X.,et al."Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions".Neural Networks 29-30(2012):80.
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