Conditions of well-posedness for planar conewise linear systems

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buir.contributor.authorNamdar, Daniyal
buir.contributor.authorÖzgüler, Arif Bülent
buir.contributor.orcidNamdar, Daniyal|0000-0003-1487-2144
buir.contributor.orcidÖzgüler, Arif Bülent|0000-0002-2173-333X
dc.citation.epage3076en_US
dc.citation.issueNumber16
dc.citation.spage3067
dc.citation.volumeNumber45
dc.contributor.authorNamdar, Daniyal
dc.contributor.authorÖzgüler, Arif Bülent
dc.date.accessioned2024-03-22T11:56:47Z
dc.date.available2024-03-22T11:56:47Z
dc.date.issued2023-04-24
dc.departmentDepartment of Electrical and Electronics Engineering
dc.description.abstractA planar (2D) conewise linear system (CLS) is considered. This is a piecewise linear system of two states and multiple modes, where each mode is linear with its state-space constrained into a polyhedral, finitely generated, convex cone. It is allowed to have a discontinuous vector field and sliding modes. Alternative conditions for well-posedness of Caratheodory solutions of this system that have intuitive interpretations with respect to eigenvectors and cone-boundary vectors are derived. It is also shown that a well-known condition for well-posedness of bimodal systems also applies to two adjacent modes of this system without any change.
dc.embargo.release2024-04-24
dc.identifier.doi10.1177/01423312231162718
dc.identifier.issn0142-3312
dc.identifier.issn1477-0369
dc.identifier.urihttps://hdl.handle.net/11693/115083
dc.language.isoen_US
dc.publisherSage Publications
dc.relation.isversionofhttps://dx.doi.org/10.1177/01423312231162718
dc.rightsCC BY 4.0 Deed (Attribution 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.source.titleTransactions of the Institute of Measurement and Control
dc.subjectLinear systems
dc.subjectPiecewise-continuous
dc.subjectConewise
dc.subjectSwitched systems
dc.subjectWell-posedness
dc.subjectStability
dc.titleConditions of well-posedness for planar conewise linear systems
dc.typeArticle

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