Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

被引：7

作者：

Arceo, Alejandro ^{[1
]}

Garza, Luis E. ^{[2
]}

Romero, Gerardo ^{[1
]}

机构：

[1] Univ Autonoma Tamaulipas, Unidad Acad Multidisciplinaria Reynosa Rodhe, Tamaulipas 88779, Mexico

[2] Univ Colima, Fac Ciencias, Colima 28045, Mexico

来源：

MATHEMATICS | 2019年 / 7卷 / 09期

关键词：

Hurwitz polynomials; robust stability; orthogonal polynomials; Laguerre-type weight; Jacobi-type weight; ORTHOGONAL POLYNOMIALS; ROUTH-HURWITZ; MATRICES;

D O I：

10.3390/math7090818

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：20

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