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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 of a 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 of polynomial 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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