• DocumentCode
    2972743
  • Title

    Quasi-Newton methods for parameter estimation in functional differential equations

  • Author

    Brewer, Dennis W.

  • Author_Institution
    Dept. of Math. Sci., Arkansas Univ., Fayetteville, AR, USA
  • fYear
    1988
  • fDate
    7-9 Dec 1988
  • Firstpage
    806
  • Abstract
    A state-space approach to parameter estimation in linear functional differential equations is developed using the theory of linear evolution equations. A locally convergent quasi-Newton type algorithm is applied to distributed systems with particular emphasis on parameters that induce unbounded perturbations of the state. The algorithm is computationally implemented on several functional differential equations, including coefficient and delay estimation in linear delay-differential equations
  • Keywords
    delays; differential equations; distributed parameter systems; parameter estimation; state-space methods; distributed systems; functional differential equations; linear delay-differential equations; linear evolution equations; parameter estimation; quasi-Newton methods; state-space; unbounded perturbations; Convergence; Cost function; Delay estimation; Delay lines; Differential equations; Microwave integrated circuits; Parameter estimation; Smoothing methods; Spline; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
  • Conference_Location
    Austin, TX
  • Type

    conf

  • DOI
    10.1109/CDC.1988.194422
  • Filename
    194422