Skip to Main content Skip to Navigation

Analyse de stabilité des systèmes à commutations singulièrement perturbés

Abstract : Many phenomena we encounter can be described by hybrid models, namely, consisting of one continuous dynamic and one discret dynamic at the same time. Moreover, these dynamics often evolves in different time scales. In this thesis, we deal with the stability analysis of singularly perturbed switched systems in continuous time. When we consider switchings, the "classical" approach (decoupling fast and slow dynamics) allowing to analyse stability of singularly perturbed systems doesn't hold anymore. Considering second order singularly perturbed switched systems woth two modes, we completely characterize de stability behavior of such systems when the perturbation parameter goes to zero. Then, we study the discretization of singularly perturbed switched systems. In particular, we focus on methods allowing to preserve stability and common quadratic Lyapunov functions
Document type :
Complete list of metadata

Cited literature [78 references]  Display  Hide  Download
Contributor : Thèses Ul <>
Submitted on : Thursday, March 29, 2018 - 12:15:04 PM
Last modification on : Wednesday, April 11, 2018 - 1:27:54 AM
Long-term archiving on: : Friday, September 14, 2018 - 10:35:30 AM


Files produced by the author(s)


  • HAL Id : tel-01749391, version 1



Fouad El Hachemi. Analyse de stabilité des systèmes à commutations singulièrement perturbés. Autre. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0229⟩. ⟨tel-01749391⟩



Record views


Files downloads