Robust Stability Analysis for Families of Spherical Polynomials

被引：4
|
作者：
Matusu, Radek [1 ]
Prokop, Roman [1 ]
机构：
[1] Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, Zlin 76001, Czech Republic
来源：
INTELLIGENT SYSTEMS IN CYBERNETICS AND AUTOMATION THEORY, VOL 2 | 2015年 / 348卷
关键词：
Spherical Uncertainty; Weighted Euclidean Norm; Robust Stability Analysis; Value Set Concept; Zero Exclusion Condition;
D O I：
10.1007/978-3-319-18503-3_6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The families of spherical polynomials provide not very commonly utilized definition of uncertainty bounding set for systems with parametric uncertainty. The principal aim of this contribution is to present such spherical polynomial families, their description and related robust stability analysis. The illustrative example demonstrates an easy-to-use graphical method of robust stability investigation theoretically based on the value set concept and the zero exclusion condition and practically performed through the Polynomial Toolbox for Matlab.
引用
收藏
页码：57 / 65
页数：9
相关论文
共 50 条
  • [31] Robust stability of multilinear affine polynomials
    Tan, NR
    Atherton, DP
    PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 & 2, 2002, : 1327 - 1332
  • [32] ON THE ROBUST STABILITY OF A FAMILY OF DISK POLYNOMIALS
    CHAPELLAT, H
    BHATTACHARYYA, SP
    DAHLEH, M
    PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 37 - 42
  • [33] Robust stability of characteristic polynomials with monotonicity
    Kawamura, T
    Shima, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) : 5109 - 5119
  • [34] Robust Schur-Stability Analysis of Interval Polynomials with real coefficients
    He, Zhongwei
    Xie, Wei
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 3955 - 3959
  • [35] On the preservation of stability in families of polynomials via substitutions
    Fernández-Anaya, G
    Alvarez-Ramírez, J
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2000, 10 (08) : 671 - 685
  • [36] On the preservation of stability in families of polynomials via substitutions
    Fernández-Anaya, Guillermo
    Alvarez-Ramírez, José
    2000, John Wiley & Sons Ltd, Chichester, United Kingdom (10)
  • [37] COMPUTATION OF STABILITY RADIUS FOR FAMILIES OF BIVARIATE POLYNOMIALS
    KOGAN, J
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1993, 4 (02) : 151 - 165
  • [38] MARKOV THEOREM OF DETERMINANTS AND THE STABILITY OF FAMILIES OF POLYNOMIALS
    HOLLOT, CV
    ROBUSTNESS IN IDENTIFICATION AND CONTROL, 1989, : 165 - 181
  • [39] Value-Set-Based Approach to Robust Stability Analysis for Ellipsoidal Families of Fractional-Order Polynomials with Complicated Uncertainty Structure
    Matusu, Radek
    Senol, Bilal
    Pekar, Libor
    APPLIED SCIENCES-BASEL, 2019, 9 (24):
  • [40] ON ROBUST STABILITY OF A CLASS OF POLYNOMIAL FAMILIES
    王勇
    于年才
    AppliedMathematicsandMechanics(EnglishEdition), 1993, (12) : 1095 - 1102
12345