New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems

被引：0
|
作者：
Liu, Li-Juan [1 ,2 ]
Xu, Ning [3 ]
Zong, Guangdeng [4 ]
Zhao, Xudong [1 ]
机构：
[1] Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Dalian University of Technology, Ministry of Education, Dalian,116024, China
[2] School of Software, Dalian Jiaotong University, Dalian,116052, China
[3] School of Information Science and Technology, Bohai University, Jinzhou,121011, China
[4] School of Engineering, Qufu Normal University, Rizhao,276826, China
来源：
IEEE Access | 2020年 / 8卷
基金：
中国国家自然科学基金;
关键词：
Discrete time control systems - Linear programming - Multivariable control systems - State feedback - Delay control systems - Stabilization - System stability - Timing circuits - Time delay - Lyapunov functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated. By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient conditions of finite-time stability are obtained. In order to solve the limitation of the multiple piecewise copositive Lyapunov-Krasovskii functional on designing controllers, a novel linear combinatorial copositive Lyapunov-Krasovskii functional is constructed, this provides a possibility for the numerical construction of the controller. Then by using state feedback controller, the finite-time stabilization is achieved. Finally, some simulation results are given to show the advantages of our methods. © 2013 IEEE.
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页码：4418 / 4427
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