On the application of Galerkin projection based polynomial chaos in linear systems and control
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
Systems of linear ordinary differential equations are examined, subject to real-random parametric uncertainty. Specifically, the paper considers stability and norm-computation for this class of systems. The main finding is: do not apply Galerkin projection based polynomial chaos to such uncertain linear systems. Just use sampling-based methods instead, for instance, Gaussian quadrature.
Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 111768 |
| Fachzeitschrift | Automatica |
| Jahrgang | 167 |
| Publikationsstatus | Veröffentlicht - Sept. 2024 |
| Peer-Review-Status | Ja |
Externe IDs
| ORCID | /0000-0001-6734-704X/work/167706543 |
|---|
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- Linear fractional transformation, Linear systems, Polynomial chaos, Robust control