Robust Stability of Multivariate Polynomials, Part 3: Frequency Domain Approach

被引：0
|
作者：
V. L. Kharitonov
M. I. Ramirez-Sosa
J. A. Torres-Muñoz
机构：
[1] CINVESTAV-IPN,Automatic Control Department
来源：
Multidimensional Systems and Signal Processing | 2000年 / 11卷
关键词：
multivariate polynomials; robust stability; zero exclusion principle; stability radius;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new formulation of thezero exclusion principle is presented and it is applied to thestudy of robust stability of multivariate polynomials. It hasbeen proven that the stability radius of a stable polynomialcoincides with its strict sense stability radius. Similar resultsare presented for the case of structured stability radius.
引用
收藏
页码：213 / 231
页数：18
相关论文
共 50 条
  • [1] 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
  • [2] Stability and robust stability of multivariate polynomials
    Kharitonov, VL
    Munoz, JAT
    Ramirez-Sosa, MI
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 3254 - 3259
  • [3] On stability and robust stability of multivariate polynomials
    Muñoz, JAT
    Kharitonov, VL
    CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 479 - 484
  • [4] Frequency domain criterion for robust stability of polytopes of polynomials
    Tsypkin, Ya.Z.
    Polyak, B.T.
    International Workshop on Robust Control, 1991,
  • [5] Robust stability of multivariate polynomials
    Kharitonov, VL
    ADVANCES IN MATHEMATICAL SYSTEMS THEORY: A VOLUME IN HONOR OF DIEDERICH HINRICHSEN, 2001, : 19 - 29
  • [6] 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
  • [7] 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
  • [8] FREQUENCY-DOMAIN CRITERIA FOR ROBUST STABILITY OF BIVARIATE POLYNOMIALS
    POLYAK, BT
    SHMULYIAN, SB
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (02): : 161 - 167
  • [9] 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
  • [10] Robust stability of complex multivariate polynomials
    Kharitonov, VL
    Muñoz, JAT
    SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 19 - 24
12345