• DocumentCode
    3364679
  • Title

    Relaxed exponential stability condition for a class of uncertain time-delay neural networks

  • Author

    Xia, Jianwei ; Meng, Guangwu

  • Author_Institution
    Sch. of Math. Sci., Liaocheng Univ., Liaocheng, China
  • fYear
    2009
  • fDate
    9-12 Aug. 2009
  • Firstpage
    860
  • Lastpage
    865
  • Abstract
    The global robust exponential stability of a class of uncertain neural networks with distributed delays is investigated in this paper. The uncertainties is in the form of polytopic type. The relaxed condition is obtained for the introduction of parameter-dependent Lypaunov-Krasovskii functionals and free-weighting matrices which guarantee the robust global exponential stability of the equilibrium point of the considered neural networks. The derived sufficient condition is proposed in terms of a set of relaxed linear matrix inequalities(LMIs), which can be checked easily by recently developed algorithms solving LMIs. A numerical example is given demonstrate the effectiveness of the proposed criteria.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; uncertain systems; LMI; distributed delays; free weighting matrices; parameter-dependent Lypaunov-Krasovskii functionals; polytopic form; relaxed linear matrix inequalities; relaxed robust exponential stability; uncertain time-delay neural networks; Automation; Delay effects; Linear matrix inequalities; Mathematics; Mechatronics; Neural networks; Neurons; Robust stability; Stability analysis; Uncertainty; distributed delays; global robust exponential stability; neural networks; polytopic uncertainties;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Automation, 2009. ICMA 2009. International Conference on
  • Conference_Location
    Changchun
  • Print_ISBN
    978-1-4244-2692-8
  • Electronic_ISBN
    978-1-4244-2693-5
  • Type

    conf

  • DOI
    10.1109/ICMA.2009.5246284
  • Filename
    5246284