Zero dynamics for a class of robustly stable polynomials

被引：1
|
作者：
Martinez, Noe [1 ]
Arceo, Alejandro [1 ]
Rodriguez-Hernandez, Andrea [2 ]
Garza, Luis E. [3 ]
Romero, Gerardo [1 ]
机构：
[1] Univ Autonoma Tamaulipas, Unidad Acad Multidisciplinaria Reynosa Rodhe, Carretera Reynosa San Fernando, Cd Victoria 88779, Mexico
[2] Univ Colima, Fac Ingn Mecan & Elect, Carretera Colima Coquimatlan Km 9, Colima 28400, Mexico
[3] Univ Colima, Fac Ciencias, Bernal Diaz Castillo 340, Colima 28045, Mexico
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 423卷
关键词：
Hurwitz polynomials; Schur polynomials; Orthogonal polynomials; Zeros;
D O I：
10.1016/j.cam.2022.114972
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this contribution we introduce two different methods to construct robustly stable Schur polynomials that depend on an uncertain parameter, by using basic properties of orthogonal polynomials on the unit circle. We also develop a procedure to describe the behavior of the zeros of a class of uncertain polynomials with respect to the uncertain parameters. Some illustrative examples are presented.(c) 2022 Elsevier B.V. All rights reserved.
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页数：13
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