Estimation of asymptotic stability regions via composite homogeneous polynomial Lyapunov functions

被引：6

作者：

Pang, Guochen ^{[1
]}

Zhang, Kanjian ^{[1
]}

机构：

[1] Southeast Univ, Sch Automat, Minist Educ, Key Lab Measurement & Control CSE, Nanjing 210096, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2015年 / 88卷 / 03期

基金：

中国国家自然科学基金;

关键词：

asymptotic stability region; invariant set; homogeneous polynomial function; composite Lyapunov function; LINEAR-SYSTEMS; RELAXATIONS; TIGHTNESS; FORMS;

D O I：

10.1080/00207179.2014.962616

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we present a new method to estimate the asymptotic stability regions for a class of nonlinear systems via composite homogeneous polynomial Lyapunov functions, where these nonlinear systems are approximated as a convex hull of some linear systems. Since level set of the composite homogeneous polynomial Lyapunov functions is a union set of several homogeneous polynomial functions, the composite homogeneous polynomial Lyapunov functions are nonconservative compared with quadratic or homogeneous polynomial Lyapunov functions. Numerical examples are used to illustrate the effectiveness of our method.

引用

页码：484 / 493

页数：10

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