Some stability tests for switched descriptor systems

被引：19
|
作者：
Sajja, Shravan [1 ]
Corless, Martin [2 ]
Zeheb, Ezra [3 ]
Shorten, Robert [4 ]
机构：
[1] IBM Res, Delhi, India
[2] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA
[3] Technion Israel Inst Technol, Haifa & Holon Inst Technol, Holon, Israel
[4] Univ Coll Dublin, Control Engn & Decis Sci, Dublin, Ireland
来源：
AUTOMATICA | 2019年 / 106卷
关键词：
Switched systems; Descriptor systems; Lyapunov functions; Global uniform exponential stability; COMMON LYAPUNOV FUNCTION;
D O I：
10.1016/j.automatica.2019.05.004
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 paper we first derive some general Lyapunov based stability conditions for switched linear descriptor systems and illustrate them with a simple mechanical system. Next we develop simple conditions for specific classes of systems. In particular, we consider the important case when switching between a standard system and an index one descriptor system, and systems where switching occurs between an index one and an index two descriptor system. Examples are given to illustrate these results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：257 / 265
页数：9
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