Hybrid Kernels and Capture Basins for Impulse Constrained Systems
Saint-Pierre, Patrick (2002), Hybrid Kernels and Capture Basins for Impulse Constrained Systems, dans Tomlin, Claire; Greenstreet, Mark, Hybrid Systems: Computation and Control 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, Proceedings, Springer : Berlin, p. 351-396. http://dx.doi.org/10.1007/3-540-45873-5_30
Type
Communication / ConférenceDate
2002Titre du colloque
5th International Workshop on Hybrid Systems: Computation and Control (HSCC 2002)Date du colloque
2002-03Ville du colloque
Stanford (CA)Pays du colloque
États-UnisTitre de l'ouvrage
Hybrid Systems: Computation and Control 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, ProceedingsAuteurs de l’ouvrage
Tomlin, Claire; Greenstreet, MarkÉditeur
Springer
Titre de la collection
Lecture Notes in Computer ScienceNuméro dans la collection
2289Ville d’édition
Berlin
Isbn
978-3-540-43321-7
Nombre de pages
480Pages
351-396
Identifiant publication
Métadonnées
Afficher la notice complèteAuteur(s)
Saint-Pierre, PatrickRésumé (EN)
We investigate, for constrained controlled systems with impulse, the subset of initial positions contained in a set K from which starts at least one run viable in K - the hybrid viability kernel - eventually until it reaches a given closed target in finite time - the hybrid capture basin. We define a constructive algorithm which approximates this set. The knowledge of this set is essential for control problem since it provides viable hybrid feed-backs and viable runs. We apply this method for approximating the Minimal Time-to-reach Function in the presence of both constraints and impulses. Two examples are presented, the first deals with a dynamical system revealing the complexity of the structure of hybrid kernels, the second deals with a Minimal Time problem with impulses.Mots-clés
hybrid viability kernelPublications associées
Affichage des éléments liés par titre et auteur.
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Saint-Pierre, Patrick (2003) Communication / Conférence
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Bayen, Alexandre M.; Silva, Jorge Estrela; Madureira, Luis; Marques, Edoardo; Sousa, Joao; Martins, Ricardo; Pinto, José; Diemer, Sébastien; Tinka, Andrew; Saint-Pierre, Patrick (2009) Communication / Conférence
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Aubin, Jean-Pierre; Catté, Francine (2002) Article accepté pour publication ou publié
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Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick (1999) Chapitre d'ouvrage
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Saint-Pierre, Patrick; Grüne, Lars (2006-09) Article accepté pour publication ou publié