Virtual constraints on Riemannian homogeneous spaces

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dc.contributor.authorStratoglou, Efstratios
dc.contributor.authorAnahory, Alexandre
dc.contributor.authorBloch, Anthony
dc.contributor.authorColombo, Leonardo
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades
dc.contributor.funderAgencia Estatal de Investigación
dc.contributor.funderNational Science Foundation
dc.contributor.funderAir Force Office of Scientific Research
dc.contributor.rorhttps://ror.org/02jjdwm75
dc.date.accessioned2026-03-09T10:45:08Z
dc.date.issued2024
dc.description.abstractVirtual constraints are relations imposed on a control system which insure invariance via feedback control, as opposed to physical constraints acting on the system. In this work, we introduce the notion of virtual constraints on Riemannian homogeneous spaces in a geometric framework which is a generalization of the classical controlled invariant distribution setting and we show the existence and uniqueness of a control law preserving the invariant distribution. We illustrate the theory with an example.
dc.description.peerreviewedYes
dc.description.sponsorshipThe authors acknowledge financial support from Grant PID2022-137909NB-C21 funded by MCIN/AEI/10.13039/501100011033. A.B. was partially supported by NSF grant DMS-2103026, and AFOSR grants FA 9550-22-1-0215 and FA 9550-23-1-0400.
dc.description.statusPublished
dc.formatapplication/pdf
dc.identifier.citationStratoglou, E., Simoes, A. A., Bloch, A., & Colombo, L. (2024). Virtual constraints on Riemannian homogeneous spaces. IFAC-PapersOnLine, 58(6), 77-82.
dc.identifier.issn2405-8963
dc.identifier.officialurlhttps://www.sciencedirect.com/science/article/pii/S2405896324010024
dc.identifier.urihttps://hdl.handle.net/20.500.14417/4246
dc.issue.number6
dc.journal.titleIFAC-PapersOnLine
dc.language.isoeng
dc.page.final82
dc.page.initial77
dc.page.total5
dc.publisherElsevier
dc.relation.departmentApplied Mathematics
dc.relation.entityIE University
dc.relation.projectidPID2022-137909NB-C21
dc.relation.projectidDMS-2103026
dc.relation.projectidFA 9550-22-1-0215
dc.relation.projectidFA 9550-23-1-0400
dc.relation.schoolIE School of Science & Technology
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordsVirtual constraints
dc.subject.keywordsfeedback control
dc.subject.keywordsRiemannian homogeneous spaces
dc.subject.keywordsgeometric control
dc.subject.odsODS 9 - Industria, innovación e infraestructura
dc.subject.unesco12 Matemáticas
dc.titleVirtual constraints on Riemannian homogeneous spaces
dc.typeinfo:eu-repo/semantics/article
dc.version.typeinfo:eu-repo/semantics/publishedVersion
dc.volume.number58
dspace.entity.typePublication
relation.isAuthorOfPublicationbfb483c1-187d-498e-9d83-608444b142d5
relation.isAuthorOfPublication.latestForDiscoverybfb483c1-187d-498e-9d83-608444b142d5

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