On the Stability of a class of Polytopes of third order square matrices and stability radius
In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affin...
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| Format: | Article |
| Language: | English |
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Universidad de Costa Rica
2011-04-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/206 |
| _version_ | 1797708149305638912 |
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| author | Efrén Vázquez Silva |
| author_facet | Efrén Vázquez Silva |
| author_sort | Efrén Vázquez Silva |
| collection | DOAJ |
| description | In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affine perturbations |
| first_indexed | 2024-03-12T06:18:05Z |
| format | Article |
| id | doaj.art-d2f1ea4529aa4278a55e3c83a4a2d769 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T06:18:05Z |
| publishDate | 2011-04-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-d2f1ea4529aa4278a55e3c83a4a2d7692023-09-03T02:27:33ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732011-04-0191112310.15517/rmta.v9i1.206191On the Stability of a class of Polytopes of third order square matrices and stability radiusEfrén Vázquez Silva0University of Holguín, Faculty of Informatics and MathematicsIn this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affine perturbationshttps://revistas.ucr.ac.cr/index.php/matematica/article/view/206 |
| spellingShingle | Efrén Vázquez Silva On the Stability of a class of Polytopes of third order square matrices and stability radius Revista de Matemática: Teoría y Aplicaciones |
| title | On the Stability of a class of Polytopes of third order square matrices and stability radius |
| title_full | On the Stability of a class of Polytopes of third order square matrices and stability radius |
| title_fullStr | On the Stability of a class of Polytopes of third order square matrices and stability radius |
| title_full_unstemmed | On the Stability of a class of Polytopes of third order square matrices and stability radius |
| title_short | On the Stability of a class of Polytopes of third order square matrices and stability radius |
| title_sort | on the stability of a class of polytopes of third order square matrices and stability radius |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/206 |
| work_keys_str_mv | AT efrenvazquezsilva onthestabilityofaclassofpolytopesofthirdordersquarematricesandstabilityradius |