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

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	Undefined/Unknown
Pages (from-to)	1-13
Number of pages	13
Journal	Complexity
Volume	2022
DOIs	https://doi.org/10.1155/2022/9404316
Publication status	Published - 2 Mar 2022

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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.",

author = "Alejandro Arceo and Flores, {H{\'e}ctor F.} and Garza, {Lino G.} and Garza, {Luis E.} and Gerardo Romero",

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AU - Arceo, Alejandro

AU - Flores, Héctor F.

AU - Garza, Lino G.

AU - Garza, Luis E.

AU - Romero, Gerardo

PY - 2022/3/2

Y1 - 2022/3/2

N2 - 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.

AB - 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.

UR - https://doi.org/10.1155/2022/9404316

U2 - 10.1155/2022/9404316

DO - 10.1155/2022/9404316

M3 - Article

SN - 1076-2787

VL - 2022

SP - 1

EP - 13

JO - Complexity

JF - Complexity

ER -

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

Abstract

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