Gram matrix of a Laguerre model: application to model reduction of irrational transfer function

Authors:
N. Tanguy;P. Bréhonnet;P. Vilbé;L. C. Calvez
Affiliations:
LEST-UMR CNRS 6165, Université de Bretagne Occidentale, C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, C.S. 93837, 29238 Brest Cedex 3, France
Venue:
Signal Processing
Year:
2005

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Abstract

An efficient method for evaluating inner products of repeated integrals and derivatives of a function described by a Laguerre model is presented. An immediate and promising application is model reduction of infinite-dimensional transfer functions.