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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.
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Submitted on : Tuesday, May 23, 2006 - 5:18:42 PM
Last modification on : Thursday, March 5, 2020 - 5:34:37 PM
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  • HAL Id : inria-00071407, version 1



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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