On a representation of fractional order systems: interests for the Initial Condition Problem

Abstract : This paper proposes a representation of fractional order system that involves a classical linear integer system and a system described by a parabolic equation. It thus demonstrates that fractional order systems are halfway between these two classes of systems, and are particularly suited for diffusion phenomena modeling. This representation is used here to derive a coherent initialization function for the considered systems.
Type de document :
Communication dans un congrès
3rd IFAC Workshop on Fractional Differentiation and its Applications, Nov 2008, Ankara, Turkey. pp.1, 2008
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https://hal.archives-ouvertes.fr/hal-00355499
Contributeur : Rachid Malti <>
Soumis le : jeudi 22 janvier 2009 - 18:29:47
Dernière modification le : vendredi 16 février 2018 - 19:10:01

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  • HAL Id : hal-00355499, version 1

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Jocelyn Sabatier, Mathieu Merveillaut, Rachid Malti, Alain Oustaloup. On a representation of fractional order systems: interests for the Initial Condition Problem. 3rd IFAC Workshop on Fractional Differentiation and its Applications, Nov 2008, Ankara, Turkey. pp.1, 2008. 〈hal-00355499〉

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