Minimum time control problems for non-autonomous differential equations

O. Bokanowski; A. Briani; H. Zidani

doi:10.1016/j.sysconle.2009.08.003

Minimum time control problems for non-autonomous differential equations

O. Bokanowski
, A. Briani
, H. Zidani

École Polytechnique

UPMC Université de Paris VI
Laboratoire de Probabilités et Modèles Aléatoires
University of Pisa

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

9 Citations (Scopus)

Résumé

In this paper, we investigate a minimum time problem for controlled non-autonomous differential systems, with dynamics depending on the final time. The minimal time function associated to this problem does not satisfy the dynamic programming principle. However, we will prove that it is related to a standard front propagation problem via the reachability function. Two simple numerical examples are given to illustrate our approach.

langue originale	Anglais
Pages (de - à)	742-746
Nombre de pages	5
journal	Systems and Control Letters
Volume	58
Numéro de publication	10-11
Les DOIs	https://doi.org/10.1016/j.sysconle.2009.08.003
état	Publié - 1 oct. 2009

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10.1016/j.sysconle.2009.08.003

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title = "Minimum time control problems for non-autonomous differential equations",

abstract = "In this paper, we investigate a minimum time problem for controlled non-autonomous differential systems, with dynamics depending on the final time. The minimal time function associated to this problem does not satisfy the dynamic programming principle. However, we will prove that it is related to a standard front propagation problem via the reachability function. Two simple numerical examples are given to illustrate our approach.",

keywords = "Hamilton-Jacobi-Bellman equation, Minimum time problem, Non-autonomous differential equations, Reachability set, Target problem",

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KW - Hamilton-Jacobi-Bellman equation

KW - Minimum time problem

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KW - Reachability set

KW - Target problem

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Minimum time control problems for non-autonomous differential equations

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