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New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Author

Listed:
  • Luis E. Garza

    (Facultad de Ciencias, Universidad de Colima, Colima 28045, Mexico
    These authors contributed equally to this work.)

  • Noé Martínez

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

  • Gerardo Romero

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

Abstract

A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation. Some examples are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1322-:d:396455
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    References listed on IDEAS

    as
    1. 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.
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