Zero dynamics for a class of robustly stable polynomials

Noé Martínez; Alejandro Arceo; Andrea Rodríguez-Hernández; Luis E. Garza; Gerardo Romero

doi:10.1016/j.cam.2022.114972

Zero dynamics for a class of robustly stable polynomials

Noé Martínez, Alejandro Arceo, Andrea Rodríguez-Hernández, Luis E. Garza^*, Gerardo Romero

^*Corresponding author for this work

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

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Abstract

In this contribution we introduce two different methods to construct robustly stable Schur polynomials that depend on an uncertain parameter, by using basic properties of orthogonal polynomials on the unit circle. We also develop a procedure to describe the behavior of the zeros of a class of uncertain polynomials with respect to the uncertain parameters. Some illustrative examples are presented.

Original language	English
Article number	114972
Journal	Journal of Computational and Applied Mathematics
Volume	423
DOIs	https://doi.org/10.1016/j.cam.2022.114972
Publication status	Published - 15 May 2023
Externally published	Yes

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© 2022 Elsevier B.V.

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2022.114972

Cite this

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abstract = "In this contribution we introduce two different methods to construct robustly stable Schur polynomials that depend on an uncertain parameter, by using basic properties of orthogonal polynomials on the unit circle. We also develop a procedure to describe the behavior of the zeros of a class of uncertain polynomials with respect to the uncertain parameters. Some illustrative examples are presented.",

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AU - Arceo, Alejandro

AU - Rodríguez-Hernández, Andrea

AU - Garza, Luis E.

AU - Romero, Gerardo

PY - 2023/5/15

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AB - In this contribution we introduce two different methods to construct robustly stable Schur polynomials that depend on an uncertain parameter, by using basic properties of orthogonal polynomials on the unit circle. We also develop a procedure to describe the behavior of the zeros of a class of uncertain polynomials with respect to the uncertain parameters. Some illustrative examples are presented.

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Zero dynamics for a class of robustly stable polynomials

Abstract

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