A refinement of Matrosov's theorem for differential inclusions

被引：10

作者：

Teel, Andrew R. ^{[1
]}

Nesic, Dragan ^{[2
]}

Lee, T. -C. ^{[3
]}

Tan, Ying ^{[2
]}

机构：

[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

[2] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia

[3] Minghsin Univ Sci & Technol, Dept Elect Engn, 1 Hsin Hsing Rd, Hsinchu 304, Taiwan

来源：

AUTOMATICA | 2016年 / 68卷

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

Stability; Differential inclusions; Matrosov theorem; Switched systems; LYAPUNOV FUNCTIONS; STABILITY;

D O I：

10.1016/j.automatica.2016.02.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note presents a refinement of Matrosov's theorem for a class of differential inclusions whose set valued map is defined as a closed convex hull of finitely many vector fields. This class of systems may arise in the analysis of switched nonlinear systems when stability with arbitrary switching between the given vector fields is considered. Assuming uniform global stability of a compact set, it is shown that uniform global attractivity of the set can be verified by tailoring Matrosov functions to individual vector fields. This refinement of Matrosov's theorem is an extension of the existing Matrosov results which may be easier to apply to certain differential inclusions than existing results, as demonstrated by an example. (C) 2016 Elsevier Ltd. All rights

引用

页码：378 / 383

页数：6

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