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Fractional and irrational systems: approximation and optimization

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Titre

Fractional and irrational systems: approximation and optimization
 

Nom(s)

Helie, Thomas (auteur)
 

Publication

Pau, France , 2010
 

Description

Résumé

Some complex mechanical systems involve fractional or irrational differential operators. For instance, it is the case of the propagation in acoustic pipes with varying cross-sections including visco-thermal losses at the walls. A well-posed formalism, based on the so-called "diffusive representations" or "integral representations", is able to represent a class of such input-to-output systems: their transfer functions(/impulse responses) are bluit as parametrized continuous aggregations of transfer functions (/impulse reponses) of simple first order differential systems. Using this formalism, we propose finite dimensional approximations and an optimization methodthat yield low-cost and accurate time simulations.
 

Note(s)

Contribution au colloque ou congrès : Journées "Dynamiques fractionnaires et Applications", Laboratoire de Mathématiques et de leur Applications , CNRS UMR 5142
 

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Date de la notice

2010-09-07 02:00:00
 

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