Skip to Main content Skip to Navigation

Contribution à l'étude des systèmes différentiellement plats

Abstract : This thesis introduces the new concept of flatness. A system is differentially flat (or simply flat) if its behaviour can be completely described by a set of differentially independant functions depending on the system variables and their derivatives: any trajectory of the system can be recovered from the knowledge of this set of functions without integrating differential equations. Flatness is defined through an equivalence relation, called equivalence by endogenous feedback. Two systems S and T are equivalent if there exists a bijective correspondance between trajectories of S and trajectories of T. A flat system is by definition equivalent to a system "without dynamics", that is a set of arbitrary functions.
Document type :
Complete list of metadata

Cited literature [75 references]  Display  Hide  Download
Contributor : Admin PASTEL Connect in order to contact the contributor
Submitted on : Tuesday, November 30, 2004 - 4:42:40 PM
Last modification on : Wednesday, November 17, 2021 - 12:30:54 PM
Long-term archiving on: : Wednesday, September 12, 2012 - 3:05:35 PM


  • HAL Id : tel-00005720, version 1


Philippe Martin. Contribution à l'étude des systèmes différentiellement plats. Mathématiques [math]. École Nationale Supérieure des Mines de Paris, 1992. Français. ⟨NNT : 1992ENMP0374⟩. ⟨tel-00005720⟩



Record views


Files downloads