Improved Optimum Radius for Robust Stability of Schur Polynomials

被引：2

作者：

Choo, Younseok ^{[1
]}

机构：

[1] Hongik Univ, Dept Elect & Elect Engn, Sejong Chungnam 339701, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 161卷 / 02期

关键词：

Robust stability; Schur polynomial;

D O I：

10.1007/s10957-013-0419-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

An approach based on the Rouch, theorem was introduced in the literature to compute the optimum radius for robust stability of Schur polynomials. Later an attempt was made to improve the result, but it was shown to be incorrect. The purpose of this note is to show that an improved optimum radius still can be obtained by modifying the proposed method. The result of this note can be easily extended to the multidimensional cases.

引用

页码：553 / 556

页数：4

共 50 条

[41] Necessary conditions for Schur-stability of interval polynomials
Greiner, R
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) : 740 - 744
[42] Conditions for the Schur stability of segments of polynomials of the same degree
Baltazar Aguirre-Hernández
Ricardo García-Sosa
Horacio Leyva
Julio Solís-Daun
Francisco A. Carrillo
[J]. Boletín de la Sociedad Matemática Mexicana, 2015, 21 (2) : 309 - 321
[43] Conditions for the Schur stability of segments of polynomials of the same degree
Aguirre-Hernandez, Baltazar
Garcia-Sosa, Ricardo
Leyva, Horacio
Solis-Daun, Julio
Carrillo, Francisco A.
[J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2015, 21 (02): : 309 - 321
[44] STABILITY REGIONS OF SCHUR AND G-STABLE POLYNOMIALS
SOLAK, MK
PENG, AC
[J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1993, 4 (01) : 91 - 101
[45] Relaxed monotonic conditions for Schur stability of real polynomials
Nguyen, Thang V.
Mori, Yoshihiro
Mori, Takehiro
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2007, E90A (10) : 2326 - 2328
[46] A SUFFICIENT CONDITION FOR SCHUR STABILITY OF THE CONVEX COMBINATION OF THE POLYNOMIALS
Bialas, Stanislaw
[J]. OPUSCULA MATHEMATICA, 2005, 25 (01) : 25 - 28
[47] IMPROVED CAUCHY RADIUS FOR SCALAR AND MATRIX POLYNOMIALS
Melman, A.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (02) : 613 - 624
[48] Robust Schur stability and eigenvectors of uncertain matrices
Wang, SG
[J]. PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3449 - 3454
[49] ROBUST SCHUR POLYNOMIAL STABILITY AND KHARITONOV THEOREM
KRAUS, F
ANDERSON, BDO
MANSOUR, M
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (05) : 1213 - 1225
[50] Robust stability of multivariate polynomials
Kharitonov, VL
[J]. ADVANCES IN MATHEMATICAL SYSTEMS THEORY: A VOLUME IN HONOR OF DIEDERICH HINRICHSEN, 2001, : 19 - 29

← 1 2 3 4 5 →