Conewise linear systems: a characterization of transitive cones in 3D-space

buir.contributor.authorÖzgüler, A. Bülent
buir.contributor.authorZakwan, Muhammad
dc.citation.epage3697en_US
dc.citation.spage3692en_US
dc.contributor.authorÖzgüler, A. Bülenten_US
dc.contributor.authorZakwan, Muhammaden_US
dc.coverage.spatialNaples, Italyen_US
dc.date.accessioned2020-01-29T13:30:11Z
dc.date.available2020-01-29T13:30:11Z
dc.date.issued2019-06
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 25-28 June 2019en_US
dc.descriptionConference name: 18th European Control Conference (ECC), 2019en_US
dc.description.abstractA spatial (3D) piecewise linear system with multiple modes having conewise state spaces is considered. A single mode in this system is called transitive from one (respectively, two) of its borders if every trajectory that starts in its interior or at a border travels in its interior, hits that border (respectively, one of the two borders), and goes out of the cone. This paper characterizes transitive cones in case the dynamics in the cone is dictated by real and distinct eigenvalues. An example of a 3D piecewise linear system composed of transitive cones illustrates how a nonlinear oscillator can be synthesized.en_US
dc.description.provenanceSubmitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2020-01-29T13:30:11Z No. of bitstreams: 1 Conewise_linear_systems_A_characterization_of_transitive_cones_in_3D-space.pdf: 646595 bytes, checksum: d47f4371e55603d7bf9aea4f8f2f4131 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-01-29T13:30:11Z (GMT). No. of bitstreams: 1 Conewise_linear_systems_A_characterization_of_transitive_cones_in_3D-space.pdf: 646595 bytes, checksum: d47f4371e55603d7bf9aea4f8f2f4131 (MD5) Previous issue date: 2019-06en
dc.description.sponsorship(TÜBİTAK) EEEAG-117E948en_US
dc.identifier.doi10.23919/ECC.2019.8795927en_US
dc.identifier.isbn9783907144008
dc.identifier.urihttp://hdl.handle.net/11693/52910
dc.language.isoEnglishen_US
dc.publisherThe European Control Association (EUCA)en_US
dc.relation.isversionofhttps://doi.org/10.23919/ECC.2019.8795927en_US
dc.source.title18th European Control Conference (ECC), 2019en_US
dc.subjectConewise linear systemsen_US
dc.subjectSwitched linearen_US
dc.subjectOscillatoren_US
dc.subjectStabilityen_US
dc.titleConewise linear systems: a characterization of transitive cones in 3D-spaceen_US
dc.typeConference Paperen_US

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