Conditions of well-posedness for planar conewise linear systems
buir.contributor.author | Namdar, Daniyal | |
buir.contributor.author | Özgüler, Arif Bülent | |
buir.contributor.orcid | Namdar, Daniyal|0000-0003-1487-2144 | |
buir.contributor.orcid | Özgüler, Arif Bülent|0000-0002-2173-333X | |
dc.citation.epage | 3076 | en_US |
dc.citation.issueNumber | 16 | |
dc.citation.spage | 3067 | |
dc.citation.volumeNumber | 45 | |
dc.contributor.author | Namdar, Daniyal | |
dc.contributor.author | Özgüler, Arif Bülent | |
dc.date.accessioned | 2024-03-22T11:56:47Z | |
dc.date.available | 2024-03-22T11:56:47Z | |
dc.date.issued | 2023-04-24 | |
dc.department | Department of Electrical and Electronics Engineering | |
dc.description.abstract | A 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.description.provenance | Made available in DSpace on 2024-03-22T11:56:47Z (GMT). No. of bitstreams: 1 Conditions_of_well-posedness_for_planar_conewise_linear_systems.pdf: 442861 bytes, checksum: 729366202f48839657d9478d0574cf1b (MD5) Previous issue date: 2023-04-24 | en |
dc.embargo.release | 2024-04-24 | |
dc.identifier.doi | 10.1177/01423312231162718 | |
dc.identifier.issn | 0142-3312 | |
dc.identifier.issn | 1477-0369 | |
dc.identifier.uri | https://hdl.handle.net/11693/115083 | |
dc.language.iso | en_US | |
dc.publisher | Sage Publications | |
dc.relation.isversionof | https://dx.doi.org/10.1177/01423312231162718 | |
dc.rights | CC BY 4.0 Deed (Attribution 4.0 International) | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source.title | Transactions of the Institute of Measurement and Control | |
dc.subject | Linear systems | |
dc.subject | Piecewise-continuous | |
dc.subject | Conewise | |
dc.subject | Switched systems | |
dc.subject | Well-posedness | |
dc.subject | Stability | |
dc.title | Conditions of well-posedness for planar conewise linear systems | |
dc.type | Article |
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