Title data
Grüne, Lars ; Muff, David ; Schaller, Manuel:
Conditions for strict dissipativity of infinitedimensional generalized linearquadratic problems.
In: IFACPapersOnLine.
Vol. 54
(2021)
Issue 19
.
 pp. 302306.
ISSN 24058963
DOI: https://doi.org/10.1016/j.ifacol.2021.11.094
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We derive sufficient conditions for strict dissipativity for optimal control of linear evolution equations on Hilbert spaces with a cost functional including linear and quadratic terms. We show that strict dissipativity with a particular storage function is equivalent to ellipticity of a Lyapunovlike operator. Further we prove under a spectral decomposition assumption of the underlying generator and an orthogonality condition of the resulting subspaces that this ellipticity property holds under a detectability assumption. We illustrate our result by means of an example involving a heat equation on a onedimensional domain.
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Conditions for strict dissipativity of infinitedimensional generalized linearquadratic problems. (deposited 22 Apr 2021 07:05)
 Conditions for strict dissipativity of infinitedimensional generalized linearquadratic problems. (deposited 21 Feb 2022 09:04) [Currently Displayed]