Robust Stability of Multivariate Polynomials. Part 1: Small Coefficient Perturbations

被引:0
|
作者
V. L. Kharitonov
J. A. Torres Muñoz
机构
[1] Automatic Control Section,CINVESTAV
来源
Multidimensional Systems and Signal Processing | 1999年 / 10卷
关键词
multivariate polynomials; stability; robust stability;
D O I
暂无
中图分类号
学科分类号
摘要
This paper presents a detailed analysis of some classes of stable multivariate polynomials. The main aim of the analysis is to give conditions under which polynomials preserve stability when they are subjected to small coefficient variations. The maximal class of such polynomials is introduced. Some basic properties of polynomials from this class are obtained.
引用
收藏
页码:7 / 20
页数:13
相关论文
共 42 条
  • [1] Robust stability of multivariate polynomials.: Part 1:: Small coefficient perturbations
    Kharitonov, VL
    Muñoz, JAT
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1999, 10 (01) : 7 - 20
  • [2] Robust stability of multivariate polynomials. Part 1: Small coefficient perturbations
    Automatic Control Section, Mexico, Mexico
    Multidimens Syst Signal Proc, 1 (7-20):
  • [3] 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
  • [4] 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
  • [5] ROBUST STABILITY OF POLYNOMIALS WITH MULTILINEARLY DEPENDENT COEFFICIENT PERTURBATIONS
    TIAN, YP
    FENG, CB
    XIN, X
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (03) : 554 - 558
  • [6] Robust stability of polynomials with nonlinear dependent coefficient perturbations
    An, SJ
    Liu, WQ
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1551 - 1556
  • [7] ROBUST STABILITY ANALYSIS OF POLYNOMIALS WITH LINEARLY DEPENDENT COEFFICIENT PERTURBATIONS
    CAVALLO, A
    CELENTANO, G
    DEMARIA, G
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (03) : 380 - 384
  • [8] 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
  • [9] On stability and robust stability of multivariate polynomials
    Muñoz, JAT
    Kharitonov, VL
    CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 479 - 484
  • [10] Robust stability of multivariate polynomials
    Kharitonov, VL
    ADVANCES IN MATHEMATICAL SYSTEMS THEORY: A VOLUME IN HONOR OF DIEDERICH HINRICHSEN, 2001, : 19 - 29