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

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  • Jun Li
  • Manfeng Hu
  • Jinde Cao
  • Yongqing Yang
  • Yinghua Jin

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.

Suggested Citation

  • Jun Li & Manfeng Hu & Jinde Cao & Yongqing Yang & Yinghua Jin, 2014. "Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, April.
    • Handle: RePEc:hin:jnlaaa:706720
    DOI: 10.1155/2014/706720
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