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

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 ^[2]; Ye, Ming ^[3]

Ningxia Univ., Yinchuan (China). School of Mathematics and Statistics; Ningxia University, Yinchuan,750021, P.R.China
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.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0008272

OSTI ID:: 1426173

Alternate ID(s):: OSTI ID: 22861171

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

Publisher:: Springer - HindawiCopyright Statement

Country of Publication:: United States

Language:: English

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An r -Order Finite-Time State Observer for Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays Fan, Xiaofei; Wang, Yantao; Wu, Ligang Complexity, Vol. 2018 https://doi.org/10.1155/2018/7257083	journal	September 2018

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59 BASIC BIOLOGICAL SCIENCES
97 MATHEMATICS AND COMPUTING
exponential stability
factional Brownian motion
genetic regulatory networks
impulsive
reaction-diffusion

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

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