Robust stochastic stability analysis of Markovian switching genetic regulatory networks with discrete and distributed delays

被引：25
作者：
Meng, Qiang [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
NEUROCOMPUTING | 2010年 / 74卷 / 1-3期
关键词：
Genetic networks; Time varying; Mean square stability; LMI analysis; CELLULAR NEURAL-NETWORKS; EXPONENTIAL STABILITY;
D O I：
10.1016/j.neucom.2010.03.029
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we investigate robust stochastic stability of Markovian switching genetic regulatory networks with discrete and distributed delays Different from previous correspondingly works discrete and distributed delays are involved to describe the concentration of macromolecule for genetic networks Based on the Lyapunov stability theory and linear matrix inequality (LMI) sufficient conditions are given to ensure the stability in the mean square of the stochastic genetic networks with Markovian switching An illustrative example is given to show the effectiveness of our theoretical results (C) 2010 Elsevier B V All rights reserved
引用
收藏
页码：362 / 368
页数：7
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