NONQUADRATIC LYAPUNOV FUNCTIONS FOR ROBUST STABILITY ANALYSIS OF LINEAR UNCERTAIN SYSTEMS

被引：101

作者：

ZELENTSOVSKY, AL ^{[1
]}

机构：

[1] MOSCOW SYST STUDIES INST,MOSCOW 117312,RUSSIA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 01期

关键词：

D O I：

10.1109/9.273350

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 note, we derive conditions of existence of a homogeneous polynomial Lyapunov function of an arbitrary even degree establishing global asymptotic stability of linear system with box-bounded uncertainty. Verification of these conditions is reduced to solving a convex minimization problem. We produce numerical examples that demonstrate significant improvement in estimates of admissible uncertainty bounds compared with estimates obtained via the most commonly used quadratic Lyapunov functions.

引用

页码：135 / 138

页数：4

共 12 条

[1]

[Anonymous], 1969, THEORY MATRICES

[2]

Baillieul J., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P879, DOI 10.1016/0362-546X(80)90002-4

[3] METHOD OF POWER-TRANSFORMATIONS FOR ANALYSIS OF STABILITY OF NON-LINEAR CONTROL-SYSTEMS [J].