Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

被引：8
|
作者：
Dinh Cong Huong [1 ,2 ]
Nguyen Huu Sau [3 ]
机构：
[1] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Hanoi Univ Ind, Fac Fundamental Sci, Hanoi, Vietnam
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 15期
关键词：
Finite-time stability; singular systems; finite-time stabilisation; positivity; time-varying delay; linear programming; LMI APPROACH;
D O I：
10.1080/00207721.2019.1690717
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, the problem of finite-time stability and stabilisation for positive singular discrete-time linear systems with time-varying delay is investigated. We first present novel delay-dependent sufficient conditions for positivity and finite-time stability of the unforced systems. We then apply the obtained results to solve finite-time stabilisation problem of the considered systems. The sufficient conditions for the positivity and finite-time stabilisable of such systems are formulated in terms of a standard linear programming (LP) problem. Numerical examples are provided to illustrate the effectiveness and advantages of our results.
引用
收藏
页码：2824 / 2837
页数：14
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