Accéder directement au contenu Accéder directement à la navigation
Communication dans un congrès

A Dynamic Programming Approach to Viability Problems

Pierre-Arnaud Coquelin 1, 2 Sophie Martin 3 Rémi Munos 1
1 SEQUEL - Sequential Learning
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe, LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
Abstract : Viability theory considers the problem of maintaining a system under a set of viability constraints. The main tool for solving viability problems lies in the construction of the {\em viability kernel}, defined as the set of initial states from which there exists a trajectory that remains in the set of constraints indefinitely. The theory is very elegant and appears naturally in many applications. Unfortunately, the current numerical approaches suffer from low computational efficiency, which limits the potential range of applications of this domain. In this paper we show that the viability kernel is the zero-level set of a related dynamic programming problem, which opens promising research directions for numerical approximation of the viability kernel using tools from approximate dynamic programming. We illustrate the approach using k-nearest neighbors on a toy problem in two dimensions and on a complex dynamical model for anaerobic digestion process in four dimensions.
Type de document :
Communication dans un congrès
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00125423
Déposant : Pierre-Arnaud Coquelin <>
Soumis le : vendredi 19 janvier 2007 - 14:23:56
Dernière modification le : mardi 24 novembre 2020 - 14:18:20
Archivage à long terme le : : mardi 6 avril 2010 - 20:05:26

Fichier

viabilite.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : inria-00125423, version 1

Collections

Citation

Pierre-Arnaud Coquelin, Sophie Martin, Rémi Munos. A Dynamic Programming Approach to Viability Problems. IEEE ADPRL, IEEE Computational Intelligence Society, Apr 2007, Hawai, United States. pp.178-184. ⟨inria-00125423⟩

Partager

Métriques

Consultations de la notice

558

Téléchargements de fichiers

699