The effect of coupling conditions on the stability of bimodal systems in R<SUP>3</SUP>
| dc.contributor.author | Eldem, Vasfi | |
| dc.contributor.author | Sahan, Gokhan | |
| dc.date.accessioned | 2024-05-25T11:17:09Z | |
| dc.date.available | 2024-05-25T11:17:09Z | |
| dc.date.issued | 2016 | |
| dc.description | Şahan, Gökhan/0000-0002-2371-6648 | en_US |
| dc.description.abstract | This paper investigates the global asymptotic stability of a class of bimodal piecewise linear systems in R-3. The approach taken allows the vector field to be discontinuous on the switching plane. In this framework, verifiable necessary and sufficient conditions are proposed for global asymptotic stability of bimodal systems being considered. It is further shown that the way the subsystems are coupled on the switching plane plays a crucial role on global asymptotic stability. Along this line, it is demonstrated that a constant (which is called the coupling constant in the paper) can be changed without changing the eigenvalues of subsystems and this change can make bimodal system stable or unstable. (C) 2016 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | 2219 programme of the Scientific and Technological Research Council of Turkey, TUBITAK | en_US |
| dc.description.sponsorship | This work is supported in part by 2219 programme of the Scientific and Technological Research Council of Turkey, TUBITAK. | en_US |
| dc.identifier.citationcount | 3 | |
| dc.identifier.doi | 10.1016/j.sysconle.2016.07.010 | |
| dc.identifier.issn | 0167-6911 | |
| dc.identifier.issn | 1872-7956 | |
| dc.identifier.scopus | 2-s2.0-84990978723 | |
| dc.identifier.uri | https://doi.org/10.1016/j.sysconle.2016.07.010 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/223 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bimodal system | en_US |
| dc.subject | Asymptotic stability | en_US |
| dc.subject | Discontinuous vector field | en_US |
| dc.subject | Piecewise linear systems | en_US |
| dc.subject | Coupling condition | en_US |
| dc.title | The effect of coupling conditions on the stability of bimodal systems in R<SUP>3</SUP> | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Şahan, Gökhan/0000-0002-2371-6648 | |
| gdc.author.institutional | Eldem V. | |
| gdc.author.scopusid | 7004030898 | |
| gdc.author.scopusid | 35792571200 | |
| gdc.author.wosid | Şahan, Gökhan/AAZ-6661-2021 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Okan University | en_US |
| gdc.description.departmenttemp | [Eldem, Vasfi] Okan Univ, Dept Basic Sci Engn, Akfirat Tuzla Istanbul, Turkey; [Sahan, Gokhan] Izmir Inst Technol, Dept Math, Izmir, Turkey | en_US |
| gdc.description.endpage | 150 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 141 | en_US |
| gdc.description.volume | 96 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000384788100020 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.scopus.citedcount | 3 | |
| gdc.wos.citedcount | 3 |