Zur Kurzanzeige

External Ellipsoidal Approximations for Set Evolution Equations

dc.contributor.authorDuda, Steven
dc.contributor.authorGehrig, Edeltraud
dc.contributor.authorLorenz, Thomas
dc.contributor.otherFachbereich Ingenieurwesen
dc.date.accessioned2022-12-01T07:47:43Z
dc.date.available2022-12-01T07:47:43Z
dc.date.issued2022-02-12
dc.identifier.urihttps://hlbrm.pur.hebis.de/xmlui/handle/123456789/73
dc.identifier.urihttp://dx.doi.org/10.25716/pur-52
dc.description.abstractIn many applications, uncertainty and imprecision in control systems require the focus on reachable sets instead of single state vectors. Then, closed-loop controls also refer to these attainable sets leading to a class of set evolution problems. We suggest sufficient conditions for its well-posedness and for approximating their solutions by intersections of finitely many time-dependent ellipsoids characterized by solutions to a system of ordinary differential equations.
dc.description.sponsorshipGefördert im Rahmen des Projekts DEAL
dc.format.extentS. 759 – 798
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Optimization Theory and Applications
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectSet differential equation
dc.subjectMorphological equation
dc.subjectReachable set
dc.subjectIntegral funnel
dc.subjectEllipsoidal approximation
dc.subjectGuaranteed state estimation
dc.subject.ddc500 Naturwissenschaften::510 Mathematik
dc.subject.ddc500 Naturwissenschaften::510 Mathematik::515 Analysis
dc.subject.ddc500 Naturwissenschaften::510 Mathematik::518 Numerische Analysis
dc.subject.ddc600 Technik::620 Ingenieurwissenschaften::629 Andere Fachrichtungen der Ingenieurwissenschaften
dc.titleExternal Ellipsoidal Approximations for Set Evolution Equations
dc.typeAufsatz
dcterms.accessRightsopen access
pur.fundingGefördert im Rahmen des Projekts DEAL
pur.source.volume192
dc.description.versionPublished Version
pur.funding.projectidFA9550-18-1-0254
pur.funding.providerAir Force Office of Scientific Research
pur.source.date2022
dc.identifier.doi10.1007/s10957-021-01984-y
dc.identifier.urlhttps://link.springer.com/article/10.1007/s10957-021-01984-y
pur.fundingProject/ Air Force Office of Scientific Research / FA9550-18-10254


Dateien zu dieser Ressource

Thumbnail
Name:
Duda_Gehrig_Lorenz__External_E ...
Größe:
817.9Kb
Format:
PDF
Öffnen

Das Dokument erscheint in:

Zur Kurzanzeige

Solange nicht anders angezeigt, wird die Lizenz wie folgt beschrieben:
Namensnennung 4.0 International