Estimation of asymptotic stability regions via homogeneous polynomial Lyapunov functions

被引：11
|
作者：
Fujisaki, Y [1 ]
Sakuwa, R
机构：
[1] Kobe Univ, Dept Syst & Comp Engn, Nada Ku, Kobe, Hyogo 6578501, Japan
[2] Kobe Univ, Grad Sch Sci & Technol, Nada Ku, Kobe, Hyogo 6578501, Japan
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2006年 / 79卷 / 06期
关键词：
D O I：
10.1080/00207170600578324
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Asymptotic stability regions of non-linear dynamical systems are estimated by using homogeneous polynomial Lyapunov functions, which include quadratic Lyapunov functions as a special case. The non-linear system is represented as a convex hull of some linear systems in a specified region of the state space. It is shown that the estimation can be formulated as an LMI optimization problem in an augmented state space.
引用
收藏
页码：617 / 623
页数：7
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