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Rapport (Rapport De Recherche) Année : 2004

Effective Algorithms for Parametrizing Linear Control Systems over Ore Algebras

Frédéric Chyzak
Alban Quadrat
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Résumé

In this paper, we study linear control systems over Ore algebras. Within this mathematical framework, we can simultaneously deal with different classes of linear control systems such as time-varying systems of ordinary differential equations (ODEs), differential time-delay systems, underdetermined systems of partial differential equations (PDEs), multidimensional discrete systems, multidimensional convolutional codes etc. We give effective algorithms which check whether or not a linear control system over some Ore algebra is controllable, parametrizable, flat or Pi-free.
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Dates et versions

inria-00071407 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00071407 , version 1

Citer

Frédéric Chyzak, Alban Quadrat, Daniel Robertz. Effective Algorithms for Parametrizing Linear Control Systems over Ore Algebras. [Research Report] RR-5181, INRIA. 2004. ⟨inria-00071407⟩
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