Polynomial approaches in control theory

Abstract In this paper, we present a overview of polynomial techniques in control theory providing a useful reference in this topics. We devote a special space to the usefulness of polynomials in the study of polynomial stability. We also explain how polynomials are an auxiliar tool to investigate some problems of controllability of systems, for example loop-closed control and motion planning problem.

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Journal
Boletín de la Sociedad Matemática Mexicana
Published
2026-06-13
DOI
https://doi.org/10.1007/s40590-026-00911-3
Primary Topic
Control and Dynamics of Mobile Robots
Type
article
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article

Polynomial approaches in control theory

Cutberto Romero-Meléndez, Carlos Arturo Loredo-Villalobos, Baltazar Aguirre-Hernández, David Castillo-Fernández et al.
Boletín de la Sociedad Matemática Mexicana
Control and Dynamics of Mobile Robots
article

Polynomial approaches in control theory

Cutberto Romero-Meléndez, Carlos Arturo Loredo-Villalobos, Baltazar Aguirre-Hernández, David Castillo-Fernández, Edgar Cristian Díaz-González, Rafael Felipe Monroy-Pérez
article en

Abstract

Abstract In this paper, we present a overview of polynomial techniques in control theory providing a useful reference in this topics. We devote a special space to the usefulness of polynomials in the study of polynomial stability. We also explain how polynomials are an auxiliar tool to investigate some problems of controllability of systems, for example loop-closed control and motion planning problem.

Boletín de la Sociedad Matemática MexicanaVol. 32(3)
Universidad Autónoma Metropolitana (MX)
Sustainable cities and communities
Openalex Percentile: Top 6%
Control and Dynamics of Mobile Robots
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