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] Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian 116024, Peoples R China
[2] Dalian Jiaotong Univ, Sch Software, Dalian 116052, Peoples R China
[3] Bohai Univ, Sch Informat Sci & Technol, Jinzhou 121011, Peoples R China
[4] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Switched positive systems; finite-time stability; linear programming; mode-dependent average dwell time; time delay; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; TRACKING CONTROL; L-1-GAIN; SUBJECT; DESIGN;
D O I：
10.1109/ACCESS.2019.2961683
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 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.
引用
收藏
页码：4418 / 4427
页数：10
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