at Google ScholarTitle data
Glück, Jochen ; Mironchenko, Andrii:
Revisiting stability of positive linear discrete-time systems.
In: IFAC-PapersOnLine.
Vol. 55
(2022)
Issue 30
.
- pp. 37-42.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2022.11.025
Related URLs
Project information
| Project title: |
Project's official title Project's id Lyapunovtheorie trifft Randwertregelung 415101813 |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
We prove small-gain type criteria of exponential stability for positive linear discrete-time systems in ordered Banach spaces that have a normal and generating positive cone. Such criteria play an important role in the finite-dimensional systems theory but are rather unexplored in the infinite-dimensional setting, yet. Furthermore, we show that our stability criteria can be considerably strengthened if the cone has non-empty interior or if the operator inducing the discrete-time system is quasi-compact.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | positive systems; discrete-time systems; stability; small-gain condition; linear systems |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Profile Fields Profile Fields > Advanced Fields |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 12 Mar 2025 08:04 |
| Last Modified: | 25 Aug 2025 11:34 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92695 |