On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials
In this contribution, we use the connection between stable polynomials and orthogonal polynomials on the real line to construct sequences of Hurwitz polynomials that are robustly stable in terms of several uncertain parameters. These sequences are constructed by using properties of orthogonal polyno...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/9404316 |
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| _version_ | 1832568860455206912 |
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| author | Alejandro Arceo Héctor F. Flores Lino G. Garza Luis E. Garza Gerardo Romero |
| author_facet | Alejandro Arceo Héctor F. Flores Lino G. Garza Luis E. Garza Gerardo Romero |
| author_sort | Alejandro Arceo |
| collection | DOAJ |
| description | In this contribution, we use the connection between stable polynomials and orthogonal polynomials on the real line to construct sequences of Hurwitz polynomials that are robustly stable in terms of several uncertain parameters. These sequences are constructed by using properties of orthogonal polynomials, such as the well-known three-term recurrence relation, as well as by considering linear combinations of two orthogonal polynomials with consecutive degree. Some examples are presented. |
| format | Article |
| id | doaj-art-9b2dcdaca7df4323b76e2e1290132615 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9b2dcdaca7df4323b76e2e12901326152025-02-03T00:20:44ZengWileyComplexity1099-05262022-01-01202210.1155/2022/9404316On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal PolynomialsAlejandro Arceo0Héctor F. Flores1Lino G. Garza2Luis E. Garza3Gerardo Romero4Universidad Autónoma de TamaulipasUniversidad de ColimaUniversidad de MonterreyUniversidad de ColimaUniversidad Autónoma de TamaulipasIn this contribution, we use the connection between stable polynomials and orthogonal polynomials on the real line to construct sequences of Hurwitz polynomials that are robustly stable in terms of several uncertain parameters. These sequences are constructed by using properties of orthogonal polynomials, such as the well-known three-term recurrence relation, as well as by considering linear combinations of two orthogonal polynomials with consecutive degree. Some examples are presented.http://dx.doi.org/10.1155/2022/9404316 |
| spellingShingle | Alejandro Arceo Héctor F. Flores Lino G. Garza Luis E. Garza Gerardo Romero On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials Complexity |
| title | On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials |
| title_full | On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials |
| title_fullStr | On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials |
| title_full_unstemmed | On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials |
| title_short | On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials |
| title_sort | on robust stability for hurwitz polynomials via recurrence relations and linear combinations of orthogonal polynomials |
| url | http://dx.doi.org/10.1155/2022/9404316 |
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