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Dissipativity in infinite-horizon optimal control : Willems' 1971 paper revisited
Publikationstyp
Conference Paper
Publikationsdatum
2022-01-01
Sprache
English
Enthalten in
Volume
55
Issue
30
Start Page
49
End Page
54
Citation
IFAC-PapersOnLine 55 (30): 49-54 (2022)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IFAC
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).
Schlagworte
Dissipativity
Optimal Control
Stability
Transversality Conditions
Turnpikes
DDC Class
333.7: Natural Resources, Energy and Environment
620: Engineering