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The differentiation orders of Laguerre polynomials and Laguerre functions are extended to permit non integer values. Using this new class of functions, a complete orthonormal basis is constructed. This basis is used to derive an identification method based on the generalised derivative Laguerre model. An academic example shows that the method can provide models with few parameters for systems with...
Nous proposons d'appliquer une methode d'identification du comportement thermique instationnaire d'un systeme par un modele d'ordre non entier. Ce modele s'exprime sous la forme d'une relation lineaire liant les derivees fractionnaires de la temperature en un point du systeme aux derivees fractionnaires de la sollicitation appliquee. Ces derivees sont remplacees par leurs definitions discretes et...
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