Monotone numerical schemes and feedback construction for hybrid control systems - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Journal of Optimization Theory and Applications Année : 2015

Monotone numerical schemes and feedback construction for hybrid control systems

Résumé

Hybrid systems are a general framework which can model a large class of control systems arising whenever a collection of continuous and discrete dynamics are put together in a single model. In this paper, we study the convergence of monotone numerical approximations of value functions associated to control problems governed by hybrid systems. We discuss also the feedback reconstruction and derive a convergence result for the approximate feedback control law. Some numerical examples are given to show the robustness of the monotone approximation schemes.
Fichier principal
Vignette du fichier
Ferretti-Zidani_Hal-V2.pdf (305.55 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00989492 , version 1 (11-05-2014)
hal-00989492 , version 2 (25-07-2014)

Identifiants

Citer

Roberto Ferretti, Hasnaa Zidani. Monotone numerical schemes and feedback construction for hybrid control systems. Journal of Optimization Theory and Applications, 2015, 165 (2), pp.507-531. ⟨10.1007/s10957-014-0637-0⟩. ⟨hal-00989492v2⟩
478 Consultations
590 Téléchargements

Altmetric

Partager

More