| Issue |
ESAIM: COCV
Volume 3, 1998
|
|
|---|---|---|
| Page(s) | 345 - 359 | |
| DOI | https://doi.org/10.1051/cocv:1998115 | |
| Published online | 15 August 2002 | |
Genericity of observability of control-affine systems
1
(balde@lmi.insa-rouen.fr)
2
(Philippe.Jouan@univ-rouen.fr)
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.
Résumé
On montre que dans l'ensemble des systèmes de ce type, l'observabilité pour toute entrée appartenant à une classe donnée est générique. Cette classe peut être soit la classe des entrées qui sont bornées ainsi que leurs dérivées jusqu'à un certain ordre, soit la classe des entrées polynomiales de degré borné.
Key words: Control-affine nonlinear systems / observability / genericity / transversality.
© EDP Sciences, SMAI, 1998
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