Method and system for modeling time-varying systems and...

G - Physics – 06 – N

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G06N 7/08 (2006.01) G06F 17/50 (2006.01)

Patent

CA 2369723

A method and system for generating reduced models of systems having time- varying elements, non-linear elements or both is provided. The system to be modeled is described utilizing differential equations (100). The differential equations of the system are then linearized (110) and the frequency domain representations of the linearized differential equations are obtained (120). A finite dimensional representation of the frequency domain representations is generated (130) and is reduced by Krylov subspace projection (140). The reduced finite dimensional representation is solved (150) to obtain the reduced model of the system.

L'invention concerne un procédé et un système permettant de générer des modèles réduits de systèmes possédant des éléments à variation temporelle, des éléments non linéaires, ou les deux. Le système à modeler est décrit à l'aide d'équations différentielles (100). Les équations différentielles du système sont alors linéarisées (110) et l'on obtient les représentations de domaine fréquentiel (120) des équations différentielles linéarisées. Une représentation dimensionnelle finie des représentations de domaine fréquentiel est générée (130) et réduite par projection de sous-espace de Krylov (140). La représentation dimensionnelle finie réduite est résolue (150) afin d'obtenir le modèle réduit du système.

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