The Robustness of Strong Stability of Positive Homogeneous Difference Equations
We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2008/124269 |
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| _version_ | 1832546541983760384 |
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| author | The Anh Bui Dang Xuan Thanh Duong |
| author_facet | The Anh Bui Dang Xuan Thanh Duong |
| author_sort | The Anh Bui |
| collection | DOAJ |
| description | We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given. |
| format | Article |
| id | doaj-art-7ec4e1591ba14d9abee3b810e0191de1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7ec4e1591ba14d9abee3b810e0191de12025-02-03T06:48:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/124269124269The Robustness of Strong Stability of Positive Homogeneous Difference EquationsThe Anh Bui0Dang Xuan Thanh Duong1Department of Mathematics, University of Pedagogy, 280 An Duong Vuong Street, HoChiMinh City 70000, VietnamDepartment of Mathematics, Ton Duc Thang University, 98 Ngo Tat To Street, HoChiMinh City 70000, VietnamWe study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.http://dx.doi.org/10.1155/2008/124269 |
| spellingShingle | The Anh Bui Dang Xuan Thanh Duong The Robustness of Strong Stability of Positive Homogeneous Difference Equations Journal of Applied Mathematics |
| title | The Robustness of Strong Stability of Positive Homogeneous Difference Equations |
| title_full | The Robustness of Strong Stability of Positive Homogeneous Difference Equations |
| title_fullStr | The Robustness of Strong Stability of Positive Homogeneous Difference Equations |
| title_full_unstemmed | The Robustness of Strong Stability of Positive Homogeneous Difference Equations |
| title_short | The Robustness of Strong Stability of Positive Homogeneous Difference Equations |
| title_sort | robustness of strong stability of positive homogeneous difference equations |
| url | http://dx.doi.org/10.1155/2008/124269 |
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