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Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

Author

Listed:
  • Alejandro Arceo

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Tamaulipas 88779, Mexico)

  • Luis E. Garza

    (Facultad de Ciencias, Universidad de Colima, Colima 28045, Mexico)

  • Gerardo Romero

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Tamaulipas 88779, Mexico)

Abstract

In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t , and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t . These sequences are later used to explicitly construct families of polynomials that are stable for all values of t , i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.

Suggested Citation

  • Alejandro Arceo & Luis E. Garza & Gerardo Romero, 2019. "Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights," Mathematics, MDPI, vol. 7(9), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:818-:d:264518
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    Citations

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    Cited by:

    1. Noé Martínez & Luis E. Garza & Gerardo Romero, 2023. "An Application of Rouché’s Theorem to Delimit the Zeros of a Certain Class of Robustly Stable Polynomials," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    2. Pedro Zamora & Alejandro Arceo & Noé Martínez & Gerardo Romero & Luis E. Garza, 2021. "Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept," Mathematics, MDPI, vol. 9(4), pages 1-19, February.
    3. Luis E. Garza & Noé Martínez & Gerardo Romero, 2020. "New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials," Mathematics, MDPI, vol. 8(8), pages 1-15, August.

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