Robust stochastic stability analysis of Markovian switching genetic regulatory networks with discrete and distributed delays

Authors:
Qiang Meng;Haijun Jiang
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, we investigate robust stochastic stability of Markovian switching genetic regulatory networks with discrete and distributed delays. Different from previous correspondingly works, discrete and distributed delays are involved to describe the concentration of macromolecule for genetic networks. Based on the Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions are given to ensure the stability in the mean square of the stochastic genetic networks with Markovian switching. An illustrative example is given to show the effectiveness of our theoretical results.