Finite-time stability and finite-time boundedness of fractional order switched systems

被引：28
|
作者：
Liang, Jinxia [1 ]
Wu, Baowei [1 ]
Liu, Lili [1 ]
Wang, Yue-E [1 ]
Li, Changtao [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2019年 / 41卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Fractional order systems; switched systems; finite-time stability; finite-time boundedness; DELAY;
D O I：
10.1177/0142331219826333
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite-time stability and finite-time boundedness of fractional order switched systems with 0<alpha<1 are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.
引用
收藏
页码：3364 / 3371
页数：8
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