Stochastic stability of Markovian switching genetic regulatory networks
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 1646-1652 |
Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 373 |
Issue number | 18-19 |
Publication status | Published - 20 Apr 2009 |
Link(s)
Abstract
In this Letter, taking into account the structure variations at discrete time instances during the process of gene regulation, a hybrid genetic regulatory networks model based on Markov chain is proposed. Its robust stochastic stability in the case of uncertain switching probabilities and intrinsic noises is then addressed from the stochastic system point of view. It is shown that the sufficient condition for the robust stochastic stability of the genetic networks can be formulated as feasibility of a linear matrix inequality, which can be easily facilitated by Matlab LMI toolbox. Finally, a numerical example with simulations is presented to illustrate the effectiveness of the developed results. © 2009 Elsevier B.V. All rights reserved.
Research Area(s)
- Intrinsic noises, Markovian genetic regulatory networks, Robust stochastic stability, Uncertain switching probabilities
Citation Format(s)
Stochastic stability of Markovian switching genetic regulatory networks. / Sun, Yonghui; Feng, Gang; Cao, Jinde.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 373, No. 18-19, 20.04.2009, p. 1646-1652.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 373, No. 18-19, 20.04.2009, p. 1646-1652.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review