On Identification of Dynamical System Parameters from Experimental Data

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Shatalov, M and Fedotov, I (2007) On Identification of Dynamical System Parameters from Experimental Data. Research report collection, 10 (1).

Abstract

In this paper we present a new method of numerical evaluation of unknown coefficients of a dynamical system having available information about unknown phase trajectories at some time values. The method consists in the direct integration of given dynamical system with posterior application of a quadrature rules. Using the least square method and possible Constraints we obtain a linear system for determining an unknown coefficient. A numerical example illustrates the method.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17518
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords dynamical system, quadrature rules, least squares method, constraints
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