On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials

Alejandro Arceo; Héctor F. Flores; Lino G. Garza; Luis E. Garza; Gerardo Romero

doi:10.1155/2022/9404316

On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials

Alejandro Arceo, Héctor F. Flores, Lino G. Garza, Luis E. Garza, Gerardo Romero

Departamento de Física y Matemáticas

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	9404316
Pages (from-to)	1-13
Number of pages	13
Journal	Complexity
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1155/2022/9404316
Publication status	Published - 2 Mar 2022

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© 2022 Alejandro Arceo et al.

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AU - Garza, Luis E.

AU - Romero, Gerardo

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On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials

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