On a class of linear delay systems often arising in practice

Michel Fliess; Hugues Mounier

Kybernetika (2001)

  • Volume: 37, Issue: 3, page [295]-308
  • ISSN: 0023-5954

Abstract

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We study the tracking control of linear delay systems. It is based on an algebraic property named π -freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.

How to cite

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Fliess, Michel, and Mounier, Hugues. "On a class of linear delay systems often arising in practice." Kybernetika 37.3 (2001): [295]-308. <http://eudml.org/doc/33536>.

@article{Fliess2001,
abstract = {We study the tracking control of linear delay systems. It is based on an algebraic property named $\pi $-freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.},
author = {Fliess, Michel, Mounier, Hugues},
journal = {Kybernetika},
keywords = {delay system; $\pi $-freeness; tracking control; Kalman’s finite dimensional linear controllability; finite dimensional nonlinear flat systems; delay system; -freeness; tracking control; Kalman's finite dimensional linear controllability; finite dimensional nonlinear flat systems},
language = {eng},
number = {3},
pages = {[295]-308},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On a class of linear delay systems often arising in practice},
url = {http://eudml.org/doc/33536},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Fliess, Michel
AU - Mounier, Hugues
TI - On a class of linear delay systems often arising in practice
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 3
SP - [295]
EP - 308
AB - We study the tracking control of linear delay systems. It is based on an algebraic property named $\pi $-freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.
LA - eng
KW - delay system; $\pi $-freeness; tracking control; Kalman’s finite dimensional linear controllability; finite dimensional nonlinear flat systems; delay system; -freeness; tracking control; Kalman's finite dimensional linear controllability; finite dimensional nonlinear flat systems
UR - http://eudml.org/doc/33536
ER -

References

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