Finding a Positive Constrained Control for a Linear System to Reach a Given Point within a Finite Time
In this paper, we consider a linear system with the control $u\in\Omega$, where $\Omega$ is a certain domain which does not contain the origin as an interior point. In particular, the origin may not belong to the set $\Omega$. The synthesis problem is solved, i.e. the control $u(x)\in \Omega$ which...
Saved in:
| Date: | 2025 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
|
| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1115 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |
Institution
Journal of Mathematical Physics, Analysis, Geometry| Summary: | In this paper, we consider a linear system with the control $u\in\Omega$, where $\Omega$ is a certain domain which does not contain the origin as an interior point. In particular, the origin may not belong to the set $\Omega$. The synthesis problem is solved, i.e. the control $u(x)\in \Omega$ which transfers a point $x$ that belongs to a neighbourhood $V(0)$ to $0$ in a finite time is constructed by using the controllability function method. Moreover, this function can be found as the time of motion from a point $x \in V(0)$ to the origin. The case of the linear control system with a non-autonomous term is also considered.
Mathematical Subject Classification 2020: 93B05, 93B50, 93B52, 93C28,93D05, 93D40 |
|---|