Exponential stability of impulsive stochastic genetic regulatory networks with time-varying delays and reaction-diffusion

Cao, Boqiang; Zhang, Qimin; Ye, Ming

doi:10.1186/s13662-016-1033-x

Title: Exponential stability of impulsive stochastic genetic regulatory networks with time-varying delays and reaction-diffusion

Journal Article · Tue Nov 29 00:00:00 EST 2016 · Advances in Difference Equations (Online)

DOI:https://doi.org/10.1186/s13662-016-1033-x· OSTI ID:1426173

Cao, Boqiang ^[1]; Zhang, Qimin ^[1]; Ye, Ming ^[2]

Ningxia Univ., Yinchuan (China). School of Mathematics and Statistics
Florida State Univ., Tallahassee, FL (United States). Dept. of Scientific Computing

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. Finally, an example is presented to illustrate our results of the mean-square exponential stability analysis.

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Research Organization:: Florida State Univ., Tallahassee, FL (United States)

Sponsoring Organization:: USDOE; National Natural Science Foundation of China (NSFC); National Science Foundation (NSF)

Grant/Contract Number:: SC0008272; 1552329

OSTI ID:: 1426173

Journal Information:: Advances in Difference Equations (Online), Vol. 2016, Issue 1; ISSN 1687-1847

Publisher:: Springer - HindawiCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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