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Exponential stability of impulsive stochastic genetic regulatory networks with time-varying delays and reaction-diffusion
- Source :
- Advances in Difference Equations. 2016(1)
- Publisher :
- Springer Nature
-
Abstract
- 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.
- Subjects :
- 0209 industrial biotechnology
Geometric Brownian motion
Fractional Brownian motion
Algebra and Number Theory
Stochastic modelling
Stochastic process
Quantitative Biology::Molecular Networks
Applied Mathematics
Linear matrix inequality
02 engineering and technology
symbols.namesake
020901 industrial engineering & automation
Wiener process
Exponential stability
Control theory
Ordinary differential equation
0202 electrical engineering, electronic engineering, information engineering
symbols
Applied mathematics
020201 artificial intelligence & image processing
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 16871847
- Volume :
- 2016
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Advances in Difference Equations
- Accession number :
- edsair.doi.dedup.....d498933bfbe905d7ee8ab04c5729fb3b
- Full Text :
- https://doi.org/10.1186/s13662-016-1033-x