| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 23 | |
| Number of page(s) | 26 | |
| DOI | https://doi.org/10.1051/cocv/2025012 | |
| Published online | 20 March 2025 | |
Controllability of second order discrete-time descriptor systems
Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, 1 Dai Co Viet Str., Hanoi, Vietnam
* Corresponding author: thuan.doduc@hust.edu.vn
Received:
2
September
2023
Accepted:
20
January
2025
This paper is mainly devoted to the controllability of second order discrete-time descriptor systems. Characterizations for different controllability concepts are derived and feedback designs are investigated by transforming the system into an appropriate form and then making use of novel methods. It shows how classical rank conditions for first order systems can be generalized to second order systems. This work extends and complements the researches about controllability of high-order descriptor systems.
Mathematics Subject Classification: 06B99 / 34D99 / 47A10 / 47A99 / 65P99 / 93B05 / 93B07 / 93B10
Key words: Second order systems / descriptor systems / causal controllability / complete controllability / strong controllability / feedback
© The authors. Published by EDP Sciences, SMAI 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.