Minimum time control problems for non-autonomous differential equations

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...

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Bibliographic Details
Published in:Systems & control letters 2009-10, Vol.58 (10), p.742-746
Main Authors: Bokanowski, O., Briani, A., Zidani, H.
Format: Article
Language:English
Subjects:
Applied sciences
Computer Science
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Hamilton–Jacobi–Bellman equation
Minimum time problem
Modelling and identification
Non-autonomous differential equations
Numerical Analysis
Reachability set
Target problem
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Summary: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.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2009.08.003