Well Posedness Conditions for Bimodal Piecewise Affine Systems
| dc.contributor.author | Şahan, Gökhan | |
| dc.contributor.author | Eldem, Vasfi | |
| dc.coverage.doi | 10.1016/j.sysconle.2015.06.002 | |
| dc.date.accessioned | 2017-07-07T08:14:01Z | |
| dc.date.available | 2017-07-07T08:14:01Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | This paper considers well-posedness (the existence and uniqueness of the solutions) of Bimodal Piecewise Affine Systems in ℝn. It is assumed that both modes are observable, but only one of the modes is in observable canonical form. This allows the vector field to be discontinuous when the trajectories change mode. Necessary and sufficient conditions for well-posedness are given as a set of algebraic conditions and sign inequalities. It is shown that these conditions induce a joint structure for the system matrices of the two modes. This structure can be used for the classification of well-posed bimodal piecewise affine systems. Furthermore, it is also shown that, under certain conditions, well-posed Bimodal Piecewise Affine Systems in ℝn may have one or two equilibrium points or no equilibrium points. | en_US |
| dc.identifier.citation | Şahan, G., and Eldem, V. (2015). Well posedness conditions for Bimodal Piecewise Affine Systems. Systems and Control Letters, 83, 9-18. doi:10.1016/j.sysconle.2015.06.002 | en_US |
| dc.identifier.doi | 10.1016/j.sysconle.2015.06.002 | en_US |
| dc.identifier.doi | 10.1016/j.sysconle.2015.06.002 | |
| dc.identifier.issn | 0167-6911 | |
| dc.identifier.issn | 0167-6911 | |
| dc.identifier.scopus | 2-s2.0-84933576479 | |
| dc.identifier.uri | https://doi.org/10.1016/j.sysconle.2015.06.002 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5884 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Systems and Control Letters | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bimodal systems | en_US |
| dc.subject | Carathéodory solution | en_US |
| dc.subject | Existence and uniqueness | en_US |
| dc.subject | Nonsmooth systems | en_US |
| dc.subject | Switched systems | en_US |
| dc.subject | Well posedness | en_US |
| dc.title | Well Posedness Conditions for Bimodal Piecewise Affine Systems | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Şahan, Gökhan | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 18 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 9 | en_US |
| gdc.description.volume | 83 | en_US |
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| gdc.oaire.keywords | Bimodal systems | |
| gdc.oaire.keywords | Nonsmooth systems | |
| gdc.oaire.keywords | Carathéodory solution | |
| gdc.oaire.keywords | Existence and uniqueness | |
| gdc.oaire.keywords | Well posedness | |
| gdc.oaire.keywords | Switched systems | |
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