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One-input linear control systems on the homogeneous spaces of the Heisenberg group - The singular case

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dc.contributor.authorDa Silva, Adriano
dc.contributor.authorDuman, Okan
dc.contributor.authorKizil, Eyup
dc.date.accessioned2026-06-27T15:10:11Z
dc.date.issued2024
dc.description.abstractWe have classified in [7] all linear control systems and studied their controllability and control sets on the homogeneous spaces L\H of the 3-dimensional Heisenberg group H through its closed subgroups L. In this paper, we characterize the controllability and control sets of the induced linear control systems in the homogeneous spaces left. In particular, we focus on the singularity of the induced drift vector fields. Quite a technical analysis with many cases reveals the control sets. We give some geometric illustrations. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.en
dc.description.sponsorshipProyecto UTA Mayor [4768-23]
dc.description.urihttps://doi.org/10.1016/j.jde.2024.06.013
dc.identifier.doi10.1016/j.jde.2024.06.013
dc.identifier.eissn1090-2732
dc.identifier.endpage152
dc.identifier.issn0022-0396
dc.identifier.startpage133
dc.identifier.urihttps://hdl.handle.net/20.500.14981/68514
dc.identifier.volume407
dc.identifier.wos001259663200001
dc.language.isoeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofJOURNAL OF DIFFERENTIAL EQUATIONS
dc.subjectControllability
dc.subjectControl sets
dc.subjectHomogeneous spaces
dc.subjectLIE-GROUPS
dc.subjectMathematics
dc.titleOne-input linear control systems on the homogeneous spaces of the Heisenberg group - The singular case
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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