文章基本信息

标题：Exponential stability of impulsive stochastic genetic regulatory networks with time-varying delays and reaction-diffusion
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作者：Boqiang Cao ; Qimin Zhang ; Ming Ye 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：307
DOI：10.1186/s13662-016-1033-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：We present a mean-square exponential stability analysis for impulsive stochastic genetic regulatory networks (GRNs) with time-varying delays and reaction-diffusion driven by fractional Brownian motion (fBm). By constructing a Lyapunov functional and using linear matrix inequality for stochastic analysis we derive sufficient conditions to guarantee the exponential stability of the stochastic model of impulsive GRNs in the mean-square sense. Meanwhile, the corresponding results are obtained for the GRNs with constant time delays and standard Brownian motion. An example is presented to illustrate our results of the mean-square exponential stability analysis.
关键词：genetic regulatory networks ; exponential stability ; impulsive ; reaction-diffusion ; factional Brownian motion