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.
Year
DOI
Venue
2009
10.1016/j.sysconle.2009.08.003
Systems & Control Letters
Keywords
DocType
Volume
Non-autonomous differential equations,Minimum time problem,Hamilton–Jacobi–Bellman equation,Reachability set,Target problem
Journal
58
Issue
ISSN
Citations 
10
0167-6911
3
PageRank 
References 
Authors
0.65
4
3
Name
Order
Citations
PageRank
Olivier Bokanowski19812.07
A. Briani252.04
Hasnaa Zidani310117.27