On a comprehensive class of linear control problems
Picard, Rainer and Trostorff, Sascha and Waurick, Marcus (2016) On a comprehensive class of linear control problems. IMA Journal of Mathematical Control and Information, 33 (2). pp. 257-291. ISSN 0265-0754 (https://doi.org/10.1093/imamci/dnu035)
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Abstract
We discuss a class of linear control problems in a Hilbert space setting. This class encompasses such diverse systems as port-Hamiltonian systems, Maxwell's equations with boundary control or the acoustic equations with boundary control and boundary observation. The boundary control and observation acts on abstract boundary data spaces such that the only geometric constraint on the underlying domain stems from requiring a closed range constraint for the spatial operator part, a requirement which for the wave equation amounts to the validity of a Poincare–Wirtinger-type inequality. We also address the issue of conservativity of the control problems under consideration.
ORCID iDs
Picard, Rainer, Trostorff, Sascha and Waurick, Marcus ORCID: https://orcid.org/0000-0003-4498-3574;-
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Item type: Article ID code: 65633 Dates: DateEvent30 June 2016Published21 October 2014Published Online18 July 2014AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 03 Oct 2018 09:33 Last modified: 09 Sep 2024 10:19 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/65633