A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function

被引：8
|
作者：
Ahmadi, Amir Ali [1 ]
El Khadir, Bachir [1 ]
机构：
[1] Princeton Univ, Dept Operat Res & Financial Engn, Princeton, NJ 08544 USA
来源：
SYSTEMS & CONTROL LETTERS | 2018年 / 121卷
关键词：
Polynomial vector fields; Algorithms for testing asymptotic stability; Polynomial Lyapunov functions; Sum of squares optimization; Nonlinear dynamics;
D O I：
10.1016/j.sysconle.2018.07.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give an explicit example of a two-dimensional polynomial vector field of degree seven that has rational coefficients, is globally asymptotically stable, but does not admit an analytic Lyapunov function even locally. (C) 2018 Published by Elsevier B.V.
引用
收藏
页码：50 / 53
页数：4
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