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control-affine nonlinear systems

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Genericity of observability of control-affine systems
M. Balde, P. Jouan
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 3 / 1998

Published online by Cambridge University Press:

15 August 2002, pp. 345-359

Print publication:

1998
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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.