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Stochastic stability of genetic regulatory networks with a finite set delay characterization.
- Source :
- Chaos; Jun2012, Vol. 22 Issue 2, p023106-023106-12, 1p, 1 Chart, 1 Graph
- Publication Year :
- 2012
-
Abstract
- In this paper, the delay-distribution-dependent stability is derived for the stochastic genetic regulatory networks (GRNs) with a finite set delay characterization and interval parameter uncertainties. One important feature of the obtained results here is that the time-varying delays are assumed to be random and the sum of the occurrence probabilities of the delays is assumed to be 1. By employing a new Lyapunov-Krasovskii functional dependent on auxiliary delay parameters which allow the time-varying delays to be not differentiable, less conservative mean-square stochastic stability criteria are obtained. Finally, two examples are given to illustrate the effectiveness and superiority of the derived results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10541500
- Volume :
- 22
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Chaos
- Publication Type :
- Academic Journal
- Accession number :
- 77442893
- Full Text :
- https://doi.org/10.1063/1.3701994