Stability conditions in piecewise smooth dynamical systems at a two-fold singularity

被引：25
|
作者：
Jacquemard, A. [1 ]
Teixeira, M. A. [2 ]
Tonon, D. J. [3 ]
机构：
[1] Univ Bourgogne, Inst Math Bourgogne, UMR CNRS 5584, Dijon, France
[2] Univ Estadual Campinas, Dept Matemat IMECC, BR-6065 Campinas, SP, Brazil
[3] Univ Fed Goias, Dept Matemat IME, Goiania, Go, Brazil
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2013年 / 19卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Singularity; non-smooth vector fields; asymptotic stability; structural stability;
D O I：
10.1007/s10883-013-9164-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Some qualitative and geometric aspects of 3-dimensional non-smooth vector fields theory are discussed. Our main aim is to study the dynamics near typical singularities of piecewise smooth dynamical systems, the so-called two-fold singularities. More specifically, we are interested in discussing stability problems of such systems around these singularities.
引用
收藏
页码：47 / 67
页数：21
相关论文
共 50 条
  • [41] On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems
    Han, Mao An
    Zhou, Xia Yu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (07) : 1785 - 1803
  • [42] On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems
    Mao An HAN
    Xia Yu ZHOU
    Acta Mathematica Sinica,English Series, 2024, (07) : 1785 - 1803
  • [43] CARB 42-Stability of two-fold screw axis structures for cellulose
    French, Alfred D.
    Johnson, Glenn P.
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2008, 235
  • [44] Method for earlier failure of the special vehicle tub curve based on the weibull two-fold piecewise model
    Wang X.
    Liu S.
    Yi X.
    Wei H.
    Hu Q.
    International Journal of Performability Engineering, 2020, 16 (01) : 87 - 97
  • [45] Phase dependence of the dynamical behaviours and photon entanglement induced by two-fold modulations in optomechanical interfaces
    Wei Lin
    Chang-Geng Liao
    Pramana, 96
  • [46] Piecewise Lyapunov stability conditions of fuzzy systems
    Feng, M
    Harris, CJ
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2001, 31 (02): : 259 - 262
  • [47] Phase dependence of the dynamical behaviours and photon entanglement induced by two-fold modulations in optomechanical interfaces
    Lin, Wei
    Liao, Chang-Geng
    PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (02):
  • [48] Sliding modes of high codimension in piecewise-smooth dynamical systems
    Guglielmi, Nicola
    Hairer, Ernst
    NUMERICAL ALGORITHMS, 2023, 94 (01) : 257 - 273
  • [49] Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces
    Jeffrey, M. R.
    Kafanas, G.
    Simpson, D. J. W.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (06):
  • [50] Calculation and control of unstable periodic orbits in piecewise smooth dynamical systems
    Ueta, T
    Kawabe, T
    Chen, GR
    Kawakami, H
    CHAOS CONTROL: THEORY AND APPLICATIONS, 2003, 292 : 321 - 340
12345