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Strict dissipativity for generalized linear-quadratic problems in infinite dimensions

Title data

Grüne, Lars ; Philipp, Friedrich ; Schaller, Manuel:
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions.
In: IFAC-PapersOnLine. Vol. 55 (2022) Issue 30 . - pp. 311-316.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2022.11.071

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Project information

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 pre-dissipativity with a quadratic storage function via coercivity of a particular Lyapunov-like quadratic form. Further, we show that under an additional algebraic assumption, strict pre-dissipativity can be strengthened to strict dissipativity. Last, we relate the obtained characterizations of dissipativity with exponential detectability.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Optimal control; strict dissipativity; infinite-dimensional problems; linear-quadratic problems
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 30 Nov 2022 10:15
Last Modified: 19 Jan 2023 08:56
URI: https://eref.uni-bayreuth.de/id/eprint/72937

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