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Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks
Huang, Chuangxia1,2; Cao, Jie1; Wang, Peng1
2016
Source PublicationDISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN1026-0226
Pages19
AbstractWe address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays. With the help of stochastic analysis technology, the Lyapunov-Krasovskii functional method, linear matrix inequalities technique (LMI), and the average dwell time approach (ADT), some novel sufficient conditions regarding the issues of mean-square uniformly ultimate boundedness, the existence of a stochastic attractor, and the mean-square exponential stability for the switched Cohen-Grossberg neural networks are established. Finally, illustrative examples and their simulations are provided to illustrate the effectiveness of the proposed results.
DOI10.1155/2016/4958217
Language英语
Funding ProjectNational Natural Science Foundation of China[11101053] ; National Natural Science Foundation of China[71471020] ; China Postdoctoral Science Foundation[2014M550097] ; China Postdoctoral Science Foundation[2015T80144] ; Hunan Provincial Natural Science Foundation[16JJ1015] ; Scientific Research Fund of Hunan Provincial Education Department[15A003] ; Hunan Provincial Innovation Foundation for Postgraduate[CX2015B373]
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000376898900001
PublisherHINDAWI PUBLISHING CORP
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22841
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHuang, Chuangxia
Affiliation1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Chuangxia,Cao, Jie,Wang, Peng. Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2016:19.
APA Huang, Chuangxia,Cao, Jie,&Wang, Peng.(2016).Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks.DISCRETE DYNAMICS IN NATURE AND SOCIETY,19.
MLA Huang, Chuangxia,et al."Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2016):19.
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