IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i9p818-d264518.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/9/818/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/7/9/818/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:818-:d:264518. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.