• DocumentCode
    3576209
  • Title

    Stability analysis for continuous-time genetic regulatory networks with delays

  • Author

    Tingting Liu ; Xiangyu Gao ; Xian Zhang

  • Author_Institution
    Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
  • fYear
    2014
  • Firstpage
    2452
  • Lastpage
    2457
  • Abstract
    This paper analyzes the global exponential stability for the continuous-time genetic regulatory networks (GRNs) with delays. By constructing a new Lyapunov functional, a sufficient condition of the global exponential stability for a class of the continuous-time GRNs is given in the form of several elementary inequalities. This sufficient condition is weaker than one obtained in [Appl. Math. Comput., vol. 220, pp. 507-517, 2013]. Finally, a pair of numerical examples are provided to show the effectiveness of the proposed analysis approach.
  • Keywords
    Lyapunov methods; asymptotic stability; biocontrol; continuous time systems; delays; genetics; Lyapunov functional; continuous-time GRN; continuous-time genetic regulatory network; delays; elementary inequalities; global exponential stability; stability analysis; sufficient condition; Computational modeling; Control theory; Delays; Genetics; Mathematical model; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Control (ICMC), 2014 International Conference on
  • Print_ISBN
    978-1-4799-2537-7
  • Type

    conf

  • DOI
    10.1109/ICMC.2014.7232009
  • Filename
    7232009