Ontology type: schema:ScholarlyArticle Open Access: True
2016-11-29
AUTHORSBoqiang Cao, Qimin Zhang, Ming Ye
ABSTRACTWe 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. More... »
PAGES307
http://scigraph.springernature.com/pub.10.1186/s13662-016-1033-x
DOIhttp://dx.doi.org/10.1186/s13662-016-1033-x
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