Skip to Main content Skip to Navigation
Theses

Sur la stabilisation de systèmes dynamiques continus non linéaires exploitant les matrices de formes en flèche : application à la synchronisation de systèmes chaotiques

Abstract : This Thesis deals with the analysis and the synthesis of dynamic large scale continuous systems depending on the choice of the system description.Stability and stabilisability proposed studies are based on the use of vector norms as an aggregation function and of the practical Borne-Gentina criterion, associated to the description of the system by instantaneous characteristic matrix in arrow form.Practical stability conditions, easy to use, are obtained for both dynamic nonlinear continuous single input single output systems and multiple inputs multiple outputs ones, formulated by means of theorems and corollaries. These obtained results for thin arrow form, are generalized to the case of matrices, which can be putted under thin generalized arrow form or thick arrow form. The proposed stability and stabilisability criteria are afterwards, successfully, exploited to formulate new sufficient conditions, guaranteeing the synchronization, the anti-synchronization and the hybrid synchronization properties, for chaotic master-slave systems, having an increasing interest throughout their application in the secure communication field
Document type :
Theses
Complete list of metadatas

Cited literature [43 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00579521
Contributor : Abes Star :  Contact
Submitted on : Thursday, March 24, 2011 - 10:38:06 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:22 PM
Long-term archiving on: : Saturday, June 25, 2011 - 2:39:21 AM

File

Hammami_Sonia_DLE.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-00579521, version 1

Collections

Citation

Sonia Hammami. Sur la stabilisation de systèmes dynamiques continus non linéaires exploitant les matrices de formes en flèche : application à la synchronisation de systèmes chaotiques. Autre. Ecole Centrale de Lille, 2009. Français. ⟨NNT : 2009ECLI0022⟩. ⟨tel-00579521⟩

Share

Metrics

Record views

962

Files downloads

8304