Effective Algorithms for Parametrizing Linear Control Systems over Ore Algebras

Frédéric Chyzak 1 Alban Quadrat 2 Daniel Robertz 2
1 ALGO - Algorithms
Inria Paris-Rocquencourt
2 CAFE - Computer algebra and functional equations
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : 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.
Document type :
Reports
Complete list of metadatas

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00071407
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, May 23, 2006 - 5:18:42 PM
Last modification on : Friday, May 25, 2018 - 12:02:02 PM
Long-term archiving on : Sunday, April 4, 2010 - 10:10:57 PM

Identifiers

  • HAL Id : inria-00071407, version 1

Citation

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

Share

Metrics

Record views

191

Files downloads

235