Stability and Stabilization of Positive Switched Systems under Asynchronous Switching

被引:0
|
作者
Zhang, Junfeng [1 ,2 ]
Zhang, Wei [3 ]
Cai, Xiushan [4 ]
Han, Zhengzhi [2 ]
机构
[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China
[3] Shanghai Univ Engn Sci, Lab Intelligent Control & Robot, Shanghai 201620, Peoples R China
[4] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
基金
美国国家科学基金会; 国家教育部博士点专项基金资助; 中国国家自然科学基金;
关键词
COPOSITIVE LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper investigates stability and stabilization of positive switched systems under asynchronous switching, which means that the switching of the controller has a delay to that of the system mode. First, two sufficient conditions for the stability of autonomous systems are established. The first one is obtained by using the linear copositive Lyapunov function incorporated with linear programming method, which allows the Lyapunov function to increase during the running time of the active mode. The second one is only based on linear programming. Then, by combining two obtained results, the state-feedback stabilization of non-autonomous systems under asynchronous switching is solved and an average dwell time is designed. Finally, an example is given to illustrate the effectiveness of the obtained results.
引用
收藏
页码:347 / 352
页数:6
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