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

  • Zhenwei Liu
  • Huaguang Zhang
Conference paper

DOI: 10.1007/978-3-642-13278-0_65

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6063)
Cite this paper as:
Liu Z., Zhang H. (2010) Stability of Genetic Regulatory Networks with Multiple Delays via a New Functional. In: Zhang L., Lu BL., Kwok J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg

Abstract

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.

Keywords

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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