Controllability and observability of linear delay systems: an algebraic approach

M. Fliess; H. Mounier

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 3, page 301-314
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Fliess, M., and Mounier, H.. "Controllability and observability of linear delay systems: an algebraic approach ." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 301-314. <http://eudml.org/doc/116556>.

@article{Fliess2010,
abstract = { 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. },
author = {Fliess, M., Mounier, H.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Linear delay systems; controllability; observability; modules; polynomial rings; Serre's conjecture; localization. ; module theory; delay systems},
language = {eng},
month = {3},
pages = {301-314},
publisher = {EDP Sciences},
title = {Controllability and observability of linear delay systems: an algebraic approach },
url = {http://eudml.org/doc/116556},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Fliess, M.
AU - Mounier, H.
TI - Controllability and observability of linear delay systems: an algebraic approach
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 3
SP - 301
EP - 314
AB - 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.
LA - eng
KW - Linear delay systems; controllability; observability; modules; polynomial rings; Serre's conjecture; localization. ; module theory; delay systems
UR - http://eudml.org/doc/116556
ER -

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