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dc.contributor.authorMostajeran, C
dc.contributor.authorSepulchre, R
dc.date.accessioned2018-12-22T00:31:17Z
dc.date.available2018-12-22T00:31:17Z
dc.date.issued2018
dc.identifier.issn0932-4194
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/287397
dc.description.abstractThis paper presents a formulation of the notion of monotonicity on homogeneous spaces. We review the general theory of invariant cone fields on homogeneous spaces and provide a list of examples involving spaces that arise in applications in information engineering and applied mathematics. Invariant cone fields associate a cone to the tangent space at each point in a way that is invariant with respect to the group actions that define the homogeneous space. We argue that invariance of conal structures induce orders that are tractable for use in analysis and propose invariant differential positivity as a natural generalization of monotonicity on such spaces.
dc.description.sponsorshipERC
dc.publisherSpringer Science and Business Media LLC
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleMonotonicity on homogeneous spaces
dc.typeArticle
prism.issueIdentifier4
prism.publicationDate2018
prism.publicationNameMathematics of Control, Signals, and Systems
prism.volume30
dc.identifier.doi10.17863/CAM.34701
dcterms.dateAccepted2018-11-20
rioxxterms.versionofrecord10.1007/s00498-018-0229-x
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2018-12-01
dc.contributor.orcidSepulchre, Rodolphe [0000-0002-7047-3124]
dc.identifier.eissn1435-568X
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEPSRC (1355845)
pubs.funder-project-idEuropean Research Council (670645)
cam.issuedOnline2018-11-29


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International