Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays

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	Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays
	Zhu, Quanxin ; Li, Xiaodi ; Yang, Xinsong ; Li XD(李晓迪)
刊名	http://dx.doi.org/10.1016/j.amc.2010.12.077
	2011-03-01
关键词	BIDIRECTIONAL ASSOCIATIVE MEMORIES GLOBAL ASYMPTOTIC STABILITY PERIODIC-SOLUTIONS LMI APPROACH NEUTRAL-TYPE TERMS EXISTENCE COEFFICIENTS CRITERION
英文摘要	National Natural Science Foundation of China [10801056]; Natural Science Foundation of Ningbo [2010A610094]; K.C. Wong Magna Fund in Ningbo University; Natural Science Foundation of Zhejiang Province; Natural Science Foundation of Shandong Province [ZR201; In this paper we study the stability for a class of stochastic bidirectional associative memory (BAM) neural networks with reaction-diffusion and mixed delays. The mixed delays considered in this paper are time-varying and distributed delays. Based on a new Lyapunov-Krasovskii functional and the Poincare inequality as well as stochastic analysis theory, a set of novel sufficient conditions are obtained to guarantee the stochastically exponential stability of the trivial solution or zero solution. The obtained results show that the reaction-diffusion term does contribute to the exponentially stabilization of the considered system. Moreover, two numerical examples are given to show the effectiveness of the theoretical results. (C) 2011 Elsevier Inc. All rights reserved.
语种	英语
出版者	APPL MATH COMPUT
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91111]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zhu, Quanxin,Li, Xiaodi,Yang, Xinsong,et al. Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays[J]. http://dx.doi.org/10.1016/j.amc.2010.12.077,2011.
APA	Zhu, Quanxin,Li, Xiaodi,Yang, Xinsong,&李晓迪.(2011).Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays.http://dx.doi.org/10.1016/j.amc.2010.12.077.
MLA	Zhu, Quanxin,et al."Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays".http://dx.doi.org/10.1016/j.amc.2010.12.077 (2011).