Properties of the composite quadratic Lyapunov functions

被引：37
作者：
Hu, TS [1 ]
Lin, ZL [1 ]
机构：
[1] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 07期
基金：
美国国家科学基金会;
关键词：
Convex hull; dual set; level set; Lyapunov function;
D O I：
10.1109/TAC.2004.831132
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A composite quadratic Lyapunov function introduced recently was shown to be very useful in the study of set invariance properties for linear systems with input and state constraints and for systems with a class of convex/concave nonlinearities. In this note, more properties about this function are revealed. In particular, we study the continuity of the optimal parameter involved in this function. This continuity is crucial in the construction of a continuous feedback law which makes the convex hull of a group of ellipsoids invariant.
引用
收藏
页码：1162 / 1167
页数：6
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