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

页码：617 / 623

页数：7

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