Convex analysis of invariant sets for a class of nonlinear systems

被引：1
|
作者：
Hu, TS [1 ]
Lin, ZL [1 ]
机构：
[1] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
SYSTEMS & CONTROL LETTERS | 2005年 / 54卷 / 08期
基金：
美国国家科学基金会;
关键词：
convexity; invariant set; contractive invariance; Lyapunov stability;
D O I：
10.1016/j.sysconle.2004.11.011
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 study the invariance of the convex hull of an invariant set for a class of nonlinear systems satisfying a generalized sector condition. The generalized sector is bounded by two odd symmetric functions which are convex/concave in the right-half plane. In a recent paper, we showed that, for this class of systems, the convex hull of a group of invariant ellipsoids is invariant. This paper shows that the convex hull of a general invariant set need not be invariant, and that the convex hull of a contractively invariant set is, however, invariant. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：729 / 737
页数：9
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