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Dissipativity in Infinite-Horizon Optimal Control: Willems’ 1971 Paper Revisited
- Source :
- IFAC-PapersOnLine; January 2022, Vol. 55 Issue: 30 p49-54, 6p
- Publication Year :
- 2022
-
Abstract
- Jan Willems introduced the system-theoretic notion of dissipativity in his foundational two-part paper which appeared in the Archive of Rational Mechanics and Analysis in 1972. Even earlier, in a likewise pivotal 1971 IEEE Transactions on Automatic Control paper, he investigated infinite-horizon least-squares optimal control and the algebraic Riccati equation from a dissipativity point of view. This note revisits infinite-horizon optimal control leveraging strict dissipativity. We discuss the interplay between dissipativity and stability properties in continuous-time infinite-horizon problems without assuming linear dynamics or quadratic cost functions. Finally, we compare our recent results from Faulwasser and Kellett (2021) to the original findings of Willems (1971).
Details
- Language :
- English
- ISSN :
- 24058963
- Volume :
- 55
- Issue :
- 30
- Database :
- Supplemental Index
- Journal :
- IFAC-PapersOnLine
- Publication Type :
- Periodical
- Accession number :
- ejs61366605
- Full Text :
- https://doi.org/10.1016/j.ifacol.2022.11.027