| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 54 | |
| Number of page(s) | 40 | |
| DOI | https://doi.org/10.1051/cocv/2024044 | |
| Published online | 22 July 2024 | |
Minimal time sampled-data controls for the ordinary differential system
1
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China
2
School of Mathematics and Statistics, Wuhan University; Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, PR China
* Corresponding author: ljwang.math@whu.edu.cn
Received:
18
March
2024
Accepted:
11
May
2024
In this paper, we design a minimal time optimal control problem for an ordinary differential system with sampled-data controls, and use it to approximate a time optimal control problem for the ordinary differential system with distributed controls. We find connections among this problem, a minimal norm sampled-data control problem and a minimization problem, and obtain some properties on these problems. Based on these, we not only build up error estimates for optimal time and optimal controls between the minimal time sampled-data control problem and the minimal time distributed control problem, in terms of the sampling period, but we also prove that such estimates are optimal in some sense.
Mathematics Subject Classification: 34A30 / 93C15 / 93C57
Key words: Minimal time control / sampled-data control / ordinary differential system
© The authors. Published by EDP Sciences, SMAI 2024
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