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Genericity of observability of control-affine systems

Published online by Cambridge University Press:  15 August 2002

M. Balde  and
P. Jouan
M. Balde
Affiliation:
(balde@lmi.insa-rouen.fr)
P. Jouan
Affiliation:
(Philippe.Jouan@univ-rouen.fr)
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Abstract

For smooth or real-analytic single-input, control-affine, non-linear systems, with at least two ouputs, observability for any input ofa given class is generic. This class can be either the class of inputs bounded with their derivatives up to a certain order, or the class ofpolynomial inputs with bounded degree.

Keywords

Control-affine nonlinear systemsobservabilitygenericitytransversality.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 345 - 359
Copyright
© EDP Sciences, SMAI, 1998

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