Title data
Grüne, Lars ; Philipp, Friedrich ; Schaller, Manuel:
Strict dissipativity for generalized linearquadratic problems in infinite dimensions.
In: IFACPapersOnLine.
Vol. 55
(2022)
Issue 30
.
 pp. 311316.
ISSN 24058963
DOI: https://doi.org/10.1016/j.ifacol.2022.11.071
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Project financing: 
Deutsche Forschungsgemeinschaft DFG Grant 289034702 DFG Grant 430154635 DFG Grant 244602989 

Abstract in another language
We analyze strict dissipativity of generalized linear quadratic optimal control problems on Hilbert spaces. Here, the term "generalized" refers to cost functions containing both quadratic and linear terms. We characterize strict predissipativity with a quadratic storage function via coercivity of a particular Lyapunovlike quadratic form. Further, we show that under an additional algebraic assumption, strict predissipativity can be strengthened to strict dissipativity. Last, we relate the obtained characterizations of dissipativity with exponential detectability.
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Strict dissipativity for generalized linearquadratic problems in infinite dimensions. (deposited 21 Feb 2022 08:30)
 Strict dissipativity for generalized linearquadratic problems in infinite dimensions. (deposited 30 Nov 2022 10:15) [Currently Displayed]