Chapter

Advances in Neural Networks - ISNN 2010

Volume 6063 of the series Lecture Notes in Computer Science pp 512-519

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

  • Zhenwei LiuAffiliated withCollege of Information Science and Engineering, Northeastern University
  • , Huaguang ZhangAffiliated withCollege of Information Science and Engineering, Northeastern University

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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