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

页码：729 / 737

页数：9

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