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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Bibliographic Details
Published inComplexity (New York, N.Y.) Vol. 2022; no. 1
Main Authors Arceo, Alejandro, Flores, Héctor F., Garza, Lino G., Garza, Luis E., Romero, Gerardo
Format Journal Article
LanguageEnglish
Published Hoboken Hindawi 01.01.2022
Hindawi Limited
Hindawi-Wiley
Subjects
Approximation
Parameter robustness
Parameter uncertainty
Polynomials
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Summary: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2022/9404316