Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay

doi:10.1155/2010/247587

CSpace

	Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay
	Zhu, Enwen 1,2,3; Zhang, Hanjun 2; Zou, Jiezhong
	2010
发表期刊	JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN	1029-242X
页码	13
摘要	The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks (CGNNs) with random delay. The evolution of the delay is modeled by a continuous-time homogeneous Markov process with a finite number of states. The main purpose of this paper is to establish easily verifiable conditions under which the random delayed Cohen-Grossberg neural network is asymptotical mean-square stability. By employing Lyapunov-Krasovskii functionals and conducting stochastic analysis, a linear matrix inequality (LMI) approach is developed to derive the criteria for the asymptotical mean-square stability, which can be readily checked by using some standard numerical packages such as the Matlab LMI Toolbox. A numerical example is exploited to show the usefulness of the derived LMI-based stability conditions.
DOI	10.1155/2010/247587
语种	英语
资助项目	Excellent Youth Foundation of Educational Committee of Hunan Provincial[08B005] ; Hunan Postdoctoral Scientific Program[2009RS3020] ; Natural Science Foundation of Hunan Province[09JJ6006] ; Hunan Provincial Education Department of China[09C059] ; Hunan Provincial Science and Technology Department of China[2009FJ3103] ; Hunan Provincial Science and Technology Department of China[2009ZK4021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000277840400001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10178
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, Enwen
作者单位	1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 2.Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410076, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Enwen,Zhang, Hanjun,Zou, Jiezhong. Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS,2010:13.
APA	Zhu, Enwen,Zhang, Hanjun,&Zou, Jiezhong.(2010).Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay.JOURNAL OF INEQUALITIES AND APPLICATIONS,13.
MLA	Zhu, Enwen,et al."Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay".JOURNAL OF INEQUALITIES AND APPLICATIONS (2010):13.