at Google ScholarTitle data
Grüne, Lars:
Input-to-state stability, numerical dynamics and sampled-data control.
In: GAMM-Mitteilungen.
Vol. 31
(2008)
Issue 1
.
- pp. 94-114.
ISSN 1522-2608
DOI: https://doi.org/10.1002/gamm.200890005
Abstract in another language
We investigate the relation between asymptotic stability for dynamical systems and families of approximations. Using suitably perturbed systems and the input-to-state stability property we develop a framework which yields necessary and sufficient conditions on the stability of the approximations ensuring stability of the approximated system. The results are formulated for numerical one step schemes for ordinary differential equations and for sampled-data systems.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Additional notes: | Special Issue on Dynamics and Control |
| Keywords: | Input-to-state stability; Asymptotically stable set; Numerical approximation; Consistency; Sampled-data control |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
| Date Deposited: | 04 Mar 2021 10:11 |
| Last Modified: | 14 Nov 2022 10:37 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63670 |