4.6 Article

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

Journal

NEUROCOMPUTING
Volume 74, Issue 1-3, Pages 362-368

Publisher

ELSEVIER
DOI: 10.1016/j.neucom.2010.03.029

Keywords

Genetic networks; Time varying; Mean square stability; LMI analysis

Funding

  1. National Natural Science Foundation of PR China [60764003]
  2. Ministry of Education of PR China [207130]
  3. Natural Science Foundation of Xinjiang [2010211A07]
  4. Scientific Research Programmes of Colleges in Xinjiang [XJEDU2007G01, XJEDU2006I05]

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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 (C) 2010 Elsevier B V All rights reserved

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