Asymptotic stabilizability of three-dimensional homogeneous polynomial systems of degree three

被引：1
|
作者：
Jerbi, H [1 ]
机构：
[1] Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期
关键词：
homogeneous polynomials of degree three; nonlinear systems; positive homogeneous feedbacks; stabilizability;
D O I：
10.1016/S0893-9659(04)90075-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the problem of global stabilizability at the origin of a homogeneous vector field of degree three. We give a sufficient condition which turns out to be also necessary in a large class of systems. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：357 / 366
页数：10
相关论文
共 50 条
  • [1] Asymptotic stabilizability of homogeneous polynomial systems of odd degree
    Jerbi, H
    Kharrat, T
    [J]. SYSTEMS & CONTROL LETTERS, 2003, 48 (02) : 87 - 99
  • [2] SOME SUFFICIENT CONDITIONS FOR THE ASYMPTOTIC STABILIZABILITY OF 3-DIMENSIONAL HOMOGENEOUS POLYNOMIAL SYSTEMS
    DAYAWANSA, WP
    MARTIN, CF
    [J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 1366 - 1369
  • [3] Stabilizability of homogeneous polynomial systems
    Chabour, O
    Chabour, R
    Zenati, H
    Sallet, G
    [J]. PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 4098 - 4099
  • [4] On the stabilizability of homogeneous systems of odd degree
    Jerbi, H
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2003, 9 : 343 - 352
  • [5] Limit Cycles for a Class of Three-Dimensional Polynomial Differential Systems
    Jaume Llibre
    Jiang Yu
    [J]. Journal of Dynamical and Control Systems, 2007, 13 : 531 - 539
  • [6] Limit cycles for a class of three-dimensional polynomial differential systems
    Llibre, Jaume
    Yu, Jiang
    [J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2007, 13 (04) : 531 - 539
  • [7] Asymptotic analysis of three-dimensional extrusion
    [J]. Aravas, N., 1600, (56):
  • [8] A three-dimensional criterion for asymptotic states
    Luo, Ting
    Yao, Yang-Ping
    Zhou, An-Nan
    Tian, Xing-Guo
    [J]. COMPUTERS AND GEOTECHNICS, 2012, 41 : 90 - 94
  • [9] An asymptotic analysis of three-dimensional extrusion
    Aravas, N.
    McMeeking, R. M.
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1989, 56 (03): : 519 - 526
  • [10] Homogeneous three-dimensional Riemannian spaces
    Josep Ferrando, Joan
    Antonio Saez, Juan
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2020, 37 (18)
12345