An LMI method to demonstrate simultaneous stability using non-quadratic polynomial Lyapunov functions

被引：0
|
作者：
Jarvis-Wloszek, Z [1 ]
Packard, AK [1 ]
机构：
[1] Univ Calif Berkeley, Berkeley, CA 94720 USA
来源：
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | 2002年
关键词：
D O I：
暂无
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 consider a nonlinear state transformation that allows us to work with non-quadratic polynomial Lyapunov functions. We use these polynomials to form Lyapunov functions to demonstrate simultaneous stability for a finite collection of linear systems. Under a weak definiteness condition, our main result, Theorem 3, shows that the minimum degree polynomial Lyapunov function that demonstrates simultaneous stability for a collection of linear systems can be written as a homogeneous polynomial.
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页码：287 / 292
页数：6
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