The algorithm of optimal linearization of non-linear state equation

Details The algorithm of optimal linearization of non-linear state equation The algorithm of optimal linearization of non-linear state equation

Jan 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008spie.6937e.148f&link_type=abstract

Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007. Edited by Romaniuk, Rys

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The linearization of non-linear state equation is based on replacement of non-linear equation by its linear approximation. The main aim of linearization is to make the linear approach a good approximation of the non-linear equation in the whole state space and for time t approaching infinity. The optimal linearization method (OLM) is based on such a choice of linear approximation matrix that the mean-square error of the difference between the non-linear model and its linear approximation is minimal. In the paper the algorithm of OLM method and its implementation in computer program will be presented. The program computes elements of optimal matrices on the basis of non-linear state equation and its linear approximation.

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