• DocumentCode
    1393044
  • Title

    Exponential Stability of Integral Delay Systems With a Class of Analytic Kernels

  • Author

    Mondie, Sabine ; Melchor-Aguilar, D.

  • Author_Institution
    Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
  • Volume
    57
  • Issue
    2
  • fYear
    2012
  • Firstpage
    484
  • Lastpage
    489
  • Abstract
    The exponential stability of a class of integral delay systems with analytic kernels is investigated by using the Lyapunov-Krasovskii functional approach. Sufficient delay-dependent stability conditions and exponential estimates for the solutions are derived. Special attention is paid to the particular cases of polynomial and exponential kernels.
  • Keywords
    Lyapunov methods; asymptotic stability; delay systems; polynomials; Lyapunov-Krasovskii functional approach; analytic kernel; delay-dependent stability; exponential kernel; exponential stability; integral delay system; polynomial kernel; Delay; Delay systems; Kernel; Linear matrix inequalities; Numerical stability; Stability criteria; Delay systems; Lyapunov–Krasovskii functionals; exponential stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2178653
  • Filename
    6097031