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

Authors:
Guanyu Wang
Affiliations:
Department of Pathology and Laboratory, Medicine, University of Texas-Houston Medical School, 6431 Fannin, MSB 2.246, Houston, TX
Venue:
Mathematics and Computers in Simulation
Year:
2004

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Abstract

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.