Stochastic Asymptotic Boundedness of Genetic Regulatory Networks
Due to the randomness of the biochemical process at the molecular level, genetic regulatory networks are inherently noisy. They are also subjected to extrinsic noises which are external to the gene expression. In this paper, we consider genetic regulatory networks with non-vanishing additive noises and investigate stochastic asymptotic boundedness of them. By using it魭s differential formula and Lyapunov-Krasovskii functional, we derive sufficient conditions so that system solution be bounded (in expectation) by a monotone function of the supremum of the covariance of the noise. All these conditions are presented in terms of linear matrix inequalitys (LMIs). Finally, Numerical example illustrates the usefulness and applicability of the proposed conditions.
Genetic regulatory netwrk non-vanishing noise stochastic boundedness LMI .
Mohammad Mohamadian Amir Hossein Abolmasoumi Hamid Reza Momeni
Automation and Instrumentation lab in Electrical Engineering Department of Tarbiat Modares Universit Electrical Engineering Department of Tarbiat Modares University
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
2318-2322
2011-05-23（万方平台首次上网日期，不代表论文的发表时间）