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
来源
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 1997年
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
  • [1] On stability and robust stability of multivariate polynomials
    Muñoz, JAT
    Kharitonov, VL
    CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 479 - 484
  • [2] Robust stability of multivariate polynomials
    Kharitonov, VL
    ADVANCES IN MATHEMATICAL SYSTEMS THEORY: A VOLUME IN HONOR OF DIEDERICH HINRICHSEN, 2001, : 19 - 29
  • [3] Robust stability of a diamond of multivariate polynomials
    Ramirez-Sosa, MI
    Kharitonov, VL
    PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 3555 - 3558
  • [4] Robust stability of complex multivariate polynomials
    Kharitonov, VL
    Muñoz, JAT
    SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 19 - 24
  • [5] Robust stability of a diamond of complex multivariate polynomials
    Moran, MIRS
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4697 - 4698
  • [6] Recent results on the robust stability of multivariate polynomials
    Kharitonov, VL
    Muñoz, JAT
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (06) : 715 - 724
  • [7] Robust Stability of Multivariate Polynomials, Part 3: Frequency Domain Approach
    V. L. Kharitonov
    M. I. Ramirez-Sosa
    J. A. Torres-Muñoz
    Multidimensional Systems and Signal Processing, 2000, 11 : 213 - 231
  • [8] Robust stability of multivariate polynomials, Part 2:: Polytopic coefficient variations
    Kharitonov, VL
    Torres-Muñoz, JA
    Ramírez-Sosa, MI
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1999, 10 (01) : 21 - 32
  • [9] Robust Stability of Multivariate Polynomials, Part 2: Polytopic Coefficient Variations
    V.L. Kharitonov
    J.A. Torres-Munoz
    M.I. Ramirez-Sosa
    Multidimensional Systems and Signal Processing, 1999, 10 : 21 - 32
  • [10] Robust stability of multivariate polynomials, part 3:: Frequency domain approach
    Kharitonov, VL
    Ramirez-Sosa, MI
    Torres-Muñoz, JA
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2000, 11 (03) : 213 - 231