An Application of Rouché’s Theorem to Delimit the Zeros of a Certain Class of Robustly Stable Polynomials

Noé Martínez, Luis E. Garza, Gerardo Romero*

*Autor correspondiente de este trabajo

Producción científicarevisión exhaustiva

Resumen

An important problem related to the study of the robust stability of a linear system that presents variation in terms of an uncertain parameter consists of understanding the variation in the roots of a system’s characteristic polynomial in terms of the uncertain parameter. In this contribution, we propose an algorithm to provide sufficient conditions on the uncertain parameter in such a way that a robustly stable family of polynomials has all of its zeros inside a specific subset of its stability region. Our method is based on the Rouché’s theorem and uses robustly stable polynomials constructed by using basic properties of orthogonal polynomials.

Idioma originalEnglish
Número de artículo4244
PublicaciónMathematics
Volumen11
N.º20
DOI
EstadoPublished - oct 2023
Publicado de forma externa

Nota bibliográfica

Publisher Copyright:
© 2023 by the authors.

All Science Journal Classification (ASJC) codes

  • Informática (miscelánea)
  • Matemáticas General
  • Ingeniería (miscelánea)

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