Skip to Main content Skip to Navigation
Theses

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 :
Theses
Complete list of metadatas

Cited literature [75 references]  Display  Hide  Download

https://pastel.archives-ouvertes.fr/tel-00005720
Contributor : Admin Pastel <>
Submitted on : Tuesday, November 30, 2004 - 4:42:40 PM
Last modification on : Wednesday, October 14, 2020 - 3:52:33 AM
Long-term archiving on: : Wednesday, September 12, 2012 - 3:05:35 PM

Identifiers

  • HAL Id : tel-00005720, version 1

Citation

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⟩

Share

Metrics

Record views

940

Files downloads

983