Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations

CORC > 厦门大学 > 数学科学－已发表论文

	Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations
	Li, Xiaodi ; Rakkiyappan, R. ; Balasubramaniam, P. ; Li XD(李晓迪)
刊名	http://dx.doi.org/10.1016/j.jfranklin.2010.10.009
	2011-03
关键词	UNIFORM ASYMPTOTIC STABILITY EXPONENTIAL STABILITY VARYING DELAYS DIFFERENTIAL-EQUATIONS DISTRIBUTED DELAYS PERIODIC-SOLUTIONS RESPIRATORY DYNAMICS DEPENDENT STABILITY DISCRETE SYSTEMS
英文摘要	This paper considers existence, uniqueness and the global asymptotic stability of fuzzy cellular neural networks with mixed delays. The mixed delays include constant delay in the leakage term (i.e., "leakage delay"), time-varying delays and continuously distributed delays. Based on the Lyapunov method and the linear matrix inequality (LMI) approach, some sufficient conditions ensuring global asymptotic stability of the equilibrium point are derived, which are dependent on both the discrete and distributed time delays. These conditions are expressed in terms of LMI and can be easily checked by MATLAB LMI toolbox. In addition, two numerical examples are given to illustrate the feasibility of the result. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
语种	英语
出版者	J FRANKLIN I
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91061]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Li, Xiaodi,Rakkiyappan, R.,Balasubramaniam, P.,et al. Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations[J]. http://dx.doi.org/10.1016/j.jfranklin.2010.10.009,2011.
APA	Li, Xiaodi,Rakkiyappan, R.,Balasubramaniam, P.,&李晓迪.(2011).Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations.http://dx.doi.org/10.1016/j.jfranklin.2010.10.009.
MLA	Li, Xiaodi,et al."Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations".http://dx.doi.org/10.1016/j.jfranklin.2010.10.009 (2011).