Stability and robust stability of multivariate polynomials

被引:0
|
作者
Kharitonov, VL [1 ]
Munoz, JAT [1 ]
Ramirez-Sosa, MI [1 ]
机构
[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Mexico City 07000, DF, Mexico
关键词
multivariate polynomials; stability; robust stability;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper an attempt is made towards selection of a class of multivariate polynomials which has the property that polynomials front this class preserve stability in the presence of small coefficient variations. Some basic properties of these polynomials are also derived. It is shown that the main results of robust stability theory remain true for this class of polynomials.
引用
收藏
页码:3254 / 3259
页数:6
相关论文
共 50 条
  • [21] ROBUST STABILITY OF A FAMILY OF DISK POLYNOMIALS
    CHAPELLAT, H
    BHATTACHARYYA, SP
    DAHLEH, M
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1990, 51 (06) : 1353 - 1362
  • [22] Robust stability of multilinear affine polynomials
    Tan, NR
    Atherton, DP
    [J]. PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 & 2, 2002, : 1327 - 1332
  • [23] ON THE ROBUST STABILITY OF A FAMILY OF DISK POLYNOMIALS
    CHAPELLAT, H
    BHATTACHARYYA, SP
    DAHLEH, M
    [J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 37 - 42
  • [24] Robust stability of characteristic polynomials with monotonicity
    Kawamura, T
    Shima, M
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) : 5109 - 5119
  • [25] On robust stability of multivariate interval plants
    Kharitonov, VL
    Torres-Muñoz, JA
    Rodríguez-Angeles, E
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (10) : 939 - 950
  • [26] ROBUST SCHUR-STABILITY OF INTERVAL POLYNOMIALS
    KRAUS, F
    MANSOUR, M
    JURY, EI
    [J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 1908 - 1910
  • [27] On the optimum radius of robust stability for Schur polynomials
    Gao, LX
    Sun, YX
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) : 471 - 475
  • [28] Optimum Radius of Robust Stability for Schur Polynomials
    N. E. Mastorakis
    [J]. Journal of Optimization Theory and Applications, 2000, 104 : 165 - 174
  • [29] On the Optimum Radius of Robust Stability for Schur Polynomials
    L.X. Gao
    Y.X. Sun
    [J]. Journal of Optimization Theory and Applications, 2002, 114 : 471 - 475
  • [30] ROBUST STABILITY OF COMPLEX POLYNOMIALS WITH ANNULAR UNCERTAINTIES
    PEREZ, F
    DOCAMPO, D
    ABDALLAH, C
    [J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1994, 5 (02) : 203 - 215