Robust stability of Hurwitz polynomials associated with modified classical weights
- Alejandro Arceo,
- Luis E. Garza,
- Gerardo Romero
- Universidad Autónoma de Tamaulipas,
- Universidad de Colima
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0.63
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3
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59
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8
Abstract
In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t, and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t. These sequences are later used to explicitly construct families of polynomials that are stable for all values of t, i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishArticle number
818Journal (Volume, Issue Number)
Mathematics (Volume 7, Issue 9)Publication milestones
- Published - 01/09/2019
Publication status
Published - 01/09/2019
Publication IDs
- Scopus: 85072313514
Funding Details
The authors would like to thank the anonymous referees for their useful comments and suggestions. They greatly contributed to improve the contents and presentation of the paper.The work of the second author is supported by México's CONACYT under grant 287523 and Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain, under grant MTM2015-65888-C4-2-P. Part of this work was developed during a stay of the second author in Laboratorie Paul Painlevé, in Lille, France, with support of CNRS. The work of the third author was partially supported by Universidad Autónoma de Tamaulipas, under grants PEI-2017 and PEI-2018.
Funding: The work of the second author is supported by México’s CONACYT under grant 287523 and Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain, under grant MTM2015-65888-C4-2-P. Part of this work was developed during a stay of the second author in Laboratorie Paul Painlevé, in Lille, France, with support of CNRS. The work of the third author was partially supported by Universidad Autónoma de Tamaulipas, under grants PEI-2017 and PEI-2018.
FundersFunding numbers
CONACYT
287523
MINECO
MTM2015-65888-C4-2-P
CNRS
-DGICT
-UAT
PEI-2018, PEI-2017