Propriétés topologiques des ensembles accessibles en temps exact

Abstract : The exact time accessibilité sets, i.e. the sets of points that can be reached in a given time have some topological properties that are interesting to study. Resides the control theory, these sets are the support of transition probabilities from diffusion processes. The main result of this work is to prove that for an important class of systems (including analytical systems) the interior of the closure of these sets is the interior, and that the interior is dense in the closurs. The families of vectors field are complete. Counter-example are given showing the necessity of the hypothesis. This show that the result of Kunita are false. This work settle what can be expected
Document type :
Theses
Complete list of metadatas

Cited literature [44 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01775726
Contributor : Administrateur Du Ccsd <>
Submitted on : Tuesday, April 24, 2018 - 3:41:07 PM
Last modification on : Thursday, June 28, 2018 - 1:15:44 AM
Long-term archiving on : Wednesday, September 19, 2018 - 10:17:25 AM

File

Tondele.Donatien.SMZ8712.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01775726, version 1

Collections

Citation

Donatien Tondele. Propriétés topologiques des ensembles accessibles en temps exact. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1987. Français. ⟨NNT : 1987METZ012S⟩. ⟨tel-01775726⟩

Share

Metrics

Record views

26

Files downloads

19