Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time‐Varying Delay in the Leakage Term

Jun Li, Manfeng Hu, Jinde Cao, Yongqing Yang and Yinghua Jin

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time‐varying delays both in the leakage term and in the regulator function. By constructing a suitable Lyapunov‐Krasovskii functional which uses the information on the lower bound of the delay sufficiently, a delay‐dependent stability criterion is derived for the proposed UISGRNs model by using the free‐weighting matrices method and convex combination technique. The conditions obtained here are expressed in terms of LMIs whose feasibility can be checked easily by MATLAB LMI control toolbox. In addition, three numerical examples are given to justify the obtained stability results.

Date: 2014
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https://doi.org/10.1155/2014/706720

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:706720

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