Asymptotic stability of Markovian switching genetic regulatory networks with leakage and mode-dependent time delays

被引：28
作者：
Ratnavelu, K. [1 ]
Kalpana, M. [1 ]
Balasubramaniam, P. [2 ]
机构：
[1] Univ Malaya, Inst Math Sci, Fac Sci, Kuala Lumpur 50603, Malaysia
[2] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 07期
关键词：
EXPONENTIAL STATE ESTIMATION; VARYING DELAYS; H-INFINITY; STABILIZATION; SYSTEM;
D O I：
10.1016/j.jfranklin.2016.01.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of stability analysis of Markovian switching genetic regulatory networks (GRNs) with leakage and mode-dependent time-varying delays along Brownian motions is reported here. The GRNs are composed of Al modes which switches from one mode to another according to a Markov chain with known transition probabilities. The regulatory functions of GRNs are assumed to be sector-like nonlinear functions. By applying delay-fractioning approach, the sufficient conditions are derived to guarantee the stability of Markovian switching GRNs with leakage and mode-dependent time-varying delays in the mean-square sense. Also, the corresponding results are obtained for the GRNs without leakage delays. To illustrate the effectiveness of the proposed theoretical results, repressilator model of Escherichia coli is analyzed in the end. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1615 / 1638
页数：24
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