Dynamical Behavior of Delayed Reaction-Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes

doi:10.1109/TNNLS.2015.2460117

科研成果详情

题名	Dynamical Behavior of Delayed Reaction-Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes
作者	Liang，Xiao 1,2; Wang，Linshan 3; Wang，Yangfan 4; Wang，Ruili 2
发表日期	2016-09-01
发表期刊	IEEE Transactions on Neural Networks and Learning Systems
ISSN/eISSN	2162-237X
卷号	27 期号:9 页码:1816-1826
摘要	In this paper, we focus on the long time behavior of the mild solution to delayed reaction-diffusion Hopfield neural networks (DRDHNNs) driven by infinite dimensional Wiener processes. We analyze the existence, uniqueness, and stability of this system under the local Lipschitz function by constructing an appropriate Lyapunov-Krasovskii function and utilizing the semigroup theory. Some easy-to-test criteria affecting the well-posedness and stability of the networks, such as infinite dimensional noise and diffusion effect, are obtained. The criteria can be used as theoretic guidance to stabilize DRDHNNs in practical applications when infinite dimensional noise is taken into consideration. Meanwhile, considering the fact that the standard Brownian motion is a special case of infinite dimensional Wiener process, we undertake an analysis of the local Lipschitz condition, which has a wider range than the global Lipschitz condition. Two samples are given to examine the availability of the results in this paper. Simulations are also given using the MATLAB.
关键词	Asymptotic behavior delayed reaction-diffusion Hopfield neural networks (DRDHNNs) existence and uniqueness mild solution Wiener process
DOI	10.1109/TNNLS.2015.2460117
URL	查看来源
语种	英语English
Scopus入藏号	2-s2.0-84938808488
引用统计	被引频次：33[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/10738
专题	个人在本单位外知识产出
通讯作者	Wang，Linshan
作者单位	1.College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,266590,China 2.Institute of Applied Physics and Computational Mathematics,Beijing,100094,China 3.College of Mathematics,Ocean University of China,Qingdao,266100,China 4.College of Marine Life Science,Ocean University of China,Qingdao,266100,China
推荐引用方式 GB/T 7714	Liang，Xiao,Wang，Linshan,Wang，Yangfanet al. Dynamical Behavior of Delayed Reaction-Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes[J]. IEEE Transactions on Neural Networks and Learning Systems, 2016, 27(9): 1816-1826.
APA	Liang，Xiao, Wang，Linshan, Wang，Yangfan, & Wang，Ruili. (2016). Dynamical Behavior of Delayed Reaction-Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes. IEEE Transactions on Neural Networks and Learning Systems, 27(9), 1816-1826.
MLA	Liang，Xiao,et al."Dynamical Behavior of Delayed Reaction-Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes". IEEE Transactions on Neural Networks and Learning Systems 27.9(2016): 1816-1826.