Stability analysis of piecewise discrete-time linear systems

被引：159
|
作者：
Feng, G [1 ]
机构：
[1] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 07期
关键词：
discrete-time systems; linear matrix inequality (LMI); piecewise linear systems; stability;
D O I：
10.1109/TAC.2002.800666
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 stability analysis method for piecewise discrete-time linear systems based on a piecewise smooth Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed and, moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically feasible with commercially available software.
引用
收藏
页码：1108 / 1112
页数：5
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