Asymptotic stability of delayed stochastic genetic regulatory networks with impulses

被引:39
作者
Sakthivel, R. [1 ]
Raja, R. [2 ]
Anthoni, S. Marshal [3 ]
机构
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Periyar Univ, Dept Math, Salem 636011, India
[3] Anna Univ Coimbatore, Dept Math, Coimbatore 641047, Tamil Nadu, India
关键词
MEMORY NEURAL-NETWORKS; GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; CRITERION;
D O I
10.1088/0031-8949/82/05/055009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the asymptotic stability analysis problem is considered for a class of delayed stochastic genetic regulatory networks with impulses. Based on the Lyapunov stability technique and stochastic analysis theory, stability criteria are proposed in terms of linear matrix inequalities (LMI). It is shown that the addressed stochastic genetic regulatory networks are globally asymptotically stable if four LMIs are feasible, where the feasibility of LMIs can be readily checked by Matlab LMI toolbox. Finally, a numerical example is given to demonstrate the usefulness of the proposed result.
引用
收藏
页数:7
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