Parameter optimization in large-scale dynamical systems: a method of contractive mapping

A new method is given to optimize parameters in dynamical systems by supplementing conventional methods with a procedure of contractive mapping. The dynamical system is first decoupled in order to reduce the search size. The reference curves and the simulation curves are obtained with the pre-optimization. A contractive mapping procedure is designed to asymptotically reduce the differences between the curves, whereby the parameters are further optimized. Numerical results indicate that the present method can solve some large-scale problems that are difficult for the previous methods.