Three stability criteria for delayed stochastic genetic regulatory networks and their conservativeness analysis
This paper considers the problem of stability analysis of a class of delayed genetic regulatory networks(GRNs)with stochastic disturbances.By introducing appropriate Lyapunov-Krasovskii functional and employing freeweighting matrix approach,convex combination approach and delay-range partition approach,respectively,three stability criteria in the form of linear matrix inequalities are established to guarantee the considered GRNs to be asymptotically stable in the mean square sense.The change rate of time-varying delays is assumed to be less than infinity.So,these stability criteria are applicable to both fast and slow change rate of time-varying delays.Then,theoretical and numerical comparisons are given to evaluate the conservativeness of the proposed stability criteria.
delayed stochastic genetic regulatory networks stability free-weighting matrix approach convex combination approach delay-range partition approach
Jing Wang Shaochun Cui Xian Zhang Yantao Wang
School of Mathematical Science,Heilongjiang University,Harbin 150080,China
国际会议
长沙
英文
1745-1750
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）