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Controllability and observability of linear delay systems: an algebraic approach

Published online by Cambridge University Press:  15 August 2002

M. Fliess  and
H. Mounier
M. Fliess
Affiliation:
(fliess@cmla.ens-cachan.fr)
H. Mounier
Affiliation:
(mounier@ief.u-psud.fr)
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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.

Keywords

Linear delay systemscontrollabilityobservabilitymodulespolynomial ringsSerre's conjecturelocalization.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 301 - 314
Copyright
© EDP Sciences, SMAI, 1998

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