Parameter estimation in dynamic systems Original Research Article

In this paper we present an approach to the solution of parameter estimation problems in systems described mathematically by differential algebraic equations. The numerical solution of these equations is compared with measurements from experiments. By adaptation of the parameters in the differential algebraic equations we try to fit the solution to the measurements. For the fit we use a (weighted) least squares criterion. Not only the final estimate of the unknown parameters, but also additional information about the reliability is derived.