Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

Alejandro Arceo, Luis E. Garza and Gerardo Romero
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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

Mathematics, 2019, vol. 7, issue 9, 1-20

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.

Keywords: Hurwitz polynomials; robust stability; orthogonal polynomials; Laguerre-type weight; Jacobi-type weight (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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