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
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