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Global controllability tests for geometric hybrid control systems

dc.contributor.authorBarberó Liñan, María
dc.contributor.authorCortés, Jorge
dc.contributor.authorMartín de Diego, David
dc.contributor.authorMartínez, Sonia
dc.contributor.authorMuñoz Lecanda, Miguel Carlos
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-11-09T09:39:10Z
dc.date.available2022-11-01T01:27:04Z
dc.date.issued2020-11-01
dc.identifier.citationBarberó, M. [et al.]. Global controllability tests for geometric hybrid control systems. "Nonlinear Analysis-Hybrid Systems", 1 Novembre 2020, vol. 38, núm. 100935.
dc.identifier.issn1751-570X
dc.identifier.otherhttps://arxiv.org/pdf/1905.02490.pdf
dc.identifier.urihttp://hdl.handle.net/2117/331649
dc.description© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.description.abstractThis paper introduces a novel geometric framework to define and study hybrid systems. We exploit the geometry and topology of the set of jump points, where the instantaneous change of dynamics takes place, in order to gain controllability for the system. This approach allows us to describe new global controllability tests for hybrid control systems. We illustrate these results with several examples where none of the continuous control systems are controllable, but the associated hybrid system is controllable because of the characteristics of the jump set.
dc.description.sponsorshipThe authors have been partially supported by Ministerio de Economía y Competitividad (MINECO, Spain) under grant MTM 2015-64166-C2-2P. MBL and DMdD acknowledge financial support from the Spanish Ministerio de Economía y Competitividad, through the research grants PID2019-106715GB-C21, MTM2016-76702-P, I-Link Project (Ref: linkA20079) from CSIC and “Severo Ochoa Programme for Centers of Excellence” in R&D (SEV-2015-0554). MBL has been financially supported by “Programa propio de I+D+I de la Universidad Politécnica de Madrid: Ayudas dirigidas a jóvenes investigadores doctores para fortalecer sus planes de investigación”. JC has been financially supported by NSF Award NSF ECCS-1917177. SM has been financially supported by AFOSR Award FA9550-18-1-0158. MCML acknowledges the financial support from the Spanish Ministerio de Economía y Competitividad project MTM2014-54855-P, the Spanish Ministerio de Ciencia Innovación y Universidades project PGC2018-098265-B-C33 and from the Secretary of University and Research of the Ministry of Business and Knowledge of the Catalan Government project 2017-SGR-932.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
dc.subject.lcshGeometry
dc.subject.lcshTopology
dc.subject.otherHybrid control systems
dc.subject.otherControllability
dc.subject.otherTransversality
dc.subject.otherVector fields
dc.subject.otherOrbits
dc.titleGlobal controllability tests for geometric hybrid control systems
dc.typeArticle
dc.subject.lemacGeometria
dc.subject.lemacTopologia
dc.identifier.doi10.1016/j.nahs.2020.100935
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::51 Geometry::51H Topological geometry
dc.subject.amsClassificació AMS::54 General topology::54H Connections with other structures, applications
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S1751570X20300820
dc.rights.accessOpen Access
local.identifier.drac29435176
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2014-54855-P/ES/ASPECTOS GEOMETRICOS EN MECANICA, CONTROL, TEORIA DE CAMPOS Y GRAVITACION/
local.citation.authorBarberó, M.; Cortés, J.; Martín de Diego, D.; Martínez, S.; Muñoz-Lecanda, Miguel C.
local.citation.publicationNameNonlinear Analysis-Hybrid Systems
local.citation.volume38
local.citation.number100935


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