Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

被引:7
作者
Liu, Leipo [1 ]
Xing, Hao [1 ]
Cao, Xiangyang [1 ]
Fu, Zhumu [1 ]
Song, Shuzhong [1 ]
机构
[1] Henan Univ Sci & Technol, Coll Informat Engn, Luoyang 471023, Peoples R China
基金
中国国家自然科学基金;
关键词
LINEAR-SYSTEMS; STABILITY; STABILIZATION;
D O I
10.1155/2018/5790681
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.
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页数:8
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