Asymptotic Stability of Markovian Jumping Genetic Regulatory Networks with Random Delays  

作　　者：LIU Jinliang YUE Dong 

机构地区：[1]Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, China [2]Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

出　　处：《Chinese Journal of Electronics》2013年第2期263-268,共6页电子学报（英文版）

基　　金：This work tion of China （No.61074025, No.61074024, No.60834002, No.60904013）, （No.BK2012469, No.BK2012847）, and a project funded by the Priority Institutions. is partly supported by the National Natural Science Foundathe Natural Science Foundation of Jiangsu Province of China Academic Program Development of Jiangsu Higher Education

摘　　要：The delay consid- ered here is assumed to be satisfying a certain stochastic characteristic. Corresponding to the probability of the ＂de- lay taking value in different intervals, stochastic variables satisfying Bernoulli random binary distribution are intro- duced and a new system model is established by employing the information of the probability distribution. By using a Lyapunov functional approach and linear matrix inequality techniques, the stability criteria for the delayed Markovian jumping genetic regulatory networks are expressed as a set of Linear matrix inequalities （LMIs）, which can be solved numerically by LMI toolbox in MATLAB. A genetic net- work example is given to verify the effectiveness and the applicability of the proposed approach.

关 键 词：Genetic regulatory network Random de- lays  Asymptotic stability  Markovian jumping parameters. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] Q253[自动化与计算机技术—控制科学与工程]