Minumum time control problems for non autonomous differential equations

Olivier Bokanowski, Ariela Briani and Hasnaa Zidani

2009

Publication type:

Paper in peer-reviewed journals

Journal:

Systems and Control Letters, vol. 58(10-11), pp. 742-746

DOI:

10.1016/j.sysconle.2009.08.003

HAL:

hal-00387803

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.

BibTeX:

@article{Bok-Bri-Zid-2009,
    author={Olivier Bokanowski and Ariela Briani and Hasnaa Zidani },
    title={Minumum time control problems for non autonomous differential 
           equations },
    doi={10.1016/j.sysconle.2009.08.003 },
    journal={Systems and Control Letters },
    year={2009 },
    volume={58(10-11) },
    pages={742--746},
}