Abstract | ||
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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 |
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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 Bokanowski | 1 | 98 | 12.07 |
A. Briani | 2 | 5 | 2.04 |
Hasnaa Zidani | 3 | 101 | 17.27 |