1. A subsystem of a flat system of differential dimension 2 is flat
- Author
-
Ollivier, François, Sadik, Brahim, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Laboratoire Ibn Al-Banna de Mathématiques et Applications (LIBMA), and Faculté des Sciences Semlalia Marrakech
- Subjects
[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC] ,Systèmes plats ,34H05 ,Monge's problem ,Flat systems ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,Endogenous equals exogenous ,Problème de Monge ,Endogène égale exogène - Abstract
With an extended english abstract. A new version where the proof of the main theorem has been corrected using a new extended version of Rouchon's lemma.; A subsystem of a flat system of differential dimension at most 2 is flat. Furthermore, if such a flat system is stationary, we show that there exist flat outputs not depending on the time.; Un sous-système de dimension différentielle au plus 2 d'une extension plate est plate. Si un tel système plat est stationnaire, il ad-met des sorties plates indépendantes du temps.
- Published
- 2017