Parameter identification for an abstract Cauchy problem by quasilinearization
Abstract : A parameter identification problem is considered in the context of a linear abstract Cauchy problem with a parameter-dependent evolution operator. Conditions are investigated under which the gradient of the state with respect to a parameter possesses smoothness properties which lead to local convergence of an estimation algorithm based on quasilinearization. Numerical results are presented concerning estimation of unknown parameters in delay-differential equations. (JHD)
IDENTIFICATION OF NONLINEAR DELAY SYSTEMS USING SPLINE METHODS
Abstract : Spline based approximation schemes for nonlinear nonautonomous functional differential equation control systems are discussed and it is shown how these may be employed in parameter estimation techniques. A sample of our numerical findings is also presented. (Author)
A difference equation approach to parameter estimation for differential-delay equations
A finite difference scheme for estimating parameters in linear differential-delay equations is investigated. Convergence results and rates of convergence are obtained for a simple explicit (Euler's) method. Numerical examples are given to illustrate the convergence for the Euler method. Numerical results for a ''higher order'' scheme are also discussed.