On the application of Galerkin projection based polynomial chaos in linear systems and control

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

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

Original languageEnglish
Article number111768
JournalAutomatica
Volume167
Publication statusPublished - Sept 2024
Peer-reviewedYes

External IDs

ORCID /0000-0001-6734-704X/work/167706543

Keywords

ASJC Scopus subject areas

Keywords

  • Linear fractional transformation, Linear systems, Polynomial chaos, Robust control