STABILITY REGIONS OF SCHUR AND G-STABLE POLYNOMIALS

被引:0
作者
SOLAK, MK [1 ]
PENG, AC [1 ]
机构
[1] CENT MICHIGAN UNIV,DEPT IND & ENGN TECHNOL,MT PLEASANT,MI 48859
关键词
BILINEAR TRANSFORMATION; POLYNOMIAL; STABILITY;
D O I
10.1007/BF00986008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The paper presents a unified approach to calculation, for a given, nominal, G-stable polynomial, a corresponding stability region in the space of perturbed coefficients
引用
收藏
页码:91 / 101
页数:11
相关论文
共 50 条
[21]   Robustly stable multivariate polynomials [J].
Scheicher, Martin .
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2013, 24 (01) :23-50
[22]   A new parameterization of stable polynomials [J].
Djaferis, TE ;
Pepyne, DL ;
Cushing, DM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (09) :1546-1550
[23]   Polynomials of Arithmetically Homogeneous Functions: Stability and Hyperstability [J].
Dan M. Dăianu ;
Cristina Mîndruţă .
Results in Mathematics, 2019, 74
[24]   Stability and robust stability of multivariate polynomials [J].
Kharitonov, VL ;
Munoz, JAT ;
Ramirez-Sosa, MI .
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, :3254-3259
[25]   On the stability of parametric polynomials [J].
Yannakoudakis, Aristotelis ;
Sfakiotakis, Michael .
INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (12) :2896-2913
[26]   On stability and robust stability of multivariate polynomials [J].
Muñoz, JAT ;
Kharitonov, VL .
CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, :479-484
[27]   EXISTENCE AND DETERMINATION OF THE SET OF METZLER MATRICES FOR GIVEN STABLE POLYNOMIALS [J].
Kaczorek, Tadeusz .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2012, 22 (02) :389-399
[28]   The Schur stability via the Hurwitz stability analysis using a biquadratic transformation [J].
Jalili-Kharaajoo, M ;
Araabi, BN .
AUTOMATICA, 2005, 41 (01) :173-176
[29]   BERNSTEIN TYPE INEQUALITIES FOR SCHUR-SZEGO<spacing diaeresis> COMPOSITION OF POLYNOMIALS [J].
Manzoor, Zahid ;
Shah, W. M. .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (04) :1313-1326
[30]   Constructing convex directions for stable polynomials [J].
Özgüler, AB .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (08) :1565-1569