Self-adjoint differential-algebraic equations
dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
dc.bibliographicCitation.volume | 2011-27 | |
dc.contributor.author | Kunkel, Peter | |
dc.contributor.author | Mehrmann, Volker | |
dc.contributor.author | Scholz, Lena | |
dc.date.available | 2019-06-28T08:04:28Z | |
dc.date.issued | 2011 | |
dc.description.abstract | Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value problem and show that it is associated with a self-conjugate operator and a self-adjoint pair of matrix functions. We then study general self-adjoint pairs of matrix valued functions and derive condensed forms under orthogonal congruence transformations that preserve the self-adjointness. We analyze the relationship between self-adjoint DAEs and Hamiltonian systems with symplectic flows. We also show how to extract self-adjoint and Hamiltonian reduced systems from derivative arrays. | |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 1864-7596 | |
dc.identifier.uri | https://doi.org/10.34657/3120 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2193 | |
dc.language.iso | eng | eng |
dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | |
dc.relation.doi | https://doi.org/10.14760/OWP-2011-27 | |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.subject.ddc | 510 | |
dc.subject.other | Differential-algebraic equation | eng |
dc.subject.other | adjoint operator | eng |
dc.subject.other | adjoint pair | eng |
dc.subject.other | formal adjoint pair | eng |
dc.subject.other | self-adjoint pair | eng |
dc.subject.other | optimal control | eng |
dc.subject.other | necessary optimality condition | eng |
dc.subject.other | strangeness index | eng |
dc.subject.other | condensed form | eng |
dc.subject.other | congruence transformation | eng |
dc.subject.other | Hamiltonian system | eng |
dc.subject.other | symplectic flow | eng |
dc.title | Self-adjoint differential-algebraic equations | |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | MFO | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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