Issue |
ESAIM: COCV
Volume 3, 1998
|
|
---|---|---|
Page(s) | 301 - 314 | |
DOI | https://doi.org/10.1051/cocv:1998111 | |
Published online | 15 August 2002 |
Controllability and observability of linear delay systems: an algebraic approach
1
(fliess@cmla.ens-cachan.fr)
2
(mounier@ief.u-psud.fr)
Interpretations of most existing controllability and observability notions for linear delay systems are given. Module theoretic characterizations are presented. This setting enables a clear and precise comparison of the various examined notions. A new notion of controllability is introduced, which is called pi-freeness.
Résumé
Nous interprétons dans le cadre de la théorie des modules la plupart des notions existantes de commandabilité et d'observabilité des systèmes linéaires à retards. Ce formalisme permet une comparaison précise de ces notions. Nous introduisons un nouveau type de commandabilité, appelée pi-liberté.
Key words: Linear delay systems / controllability / observability / modules / polynomial rings / Serre's conjecture / localization.
© EDP Sciences, SMAI, 1998
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