Stability of Genetic Regulatory Networks with Multiple Delays via a New Functional

  • Zhenwei Liu
  • Huaguang Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6063)


This paper studies the stability problem of a class of genetic regulatory networks (GRN) with multiple delays. By using a novel Lyapunov-Krasovskii (L-K) functional based on line integral, the delay-dependent asymptotical stability criterion is first proposed for GRN with multiple delays. The obtained stability result is easy to be checked by linear matrix inequality (LMI) and improve upon the existing ones. Then, a numerical example is given to verify the effectiveness of the proposed criterion.


Genetic regulatory networks (GRN) Multiple delays  Asymptotical stability Linear matrix inequality (LMI) Line integral 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Zhenwei Liu
    • 1
  • Huaguang Zhang
    • 1
  1. 1.College of Information Science and EngineeringNortheastern UniversityShenyangP.R. China

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