Lyapunov Uniform Stability and Stabilization of Fractional Order Positive Time Delay Systems

被引：0
|
作者：
Zhang Junfeng [1 ]
Chen Yun [1 ]
Zhou Shaosheng [1 ]
Lu Renquan [1 ]
机构：
[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China
来源：
2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年
关键词：
Fractional order positive time delay systems; Lyapunov uniform stability; Linear programming; FEEDBACK-CONTROL;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with Lyapunov uniform stability and stabilization of fractional order positive time delay systems. A copositive Lyapunov-Krasovskii functional is first constructed for fractional order positive time delay systems. By means of the newly present functional, a sufficient condition for the Lyapunov uniform stability of fractional order positive time delay systems is established in terms of linear programming. Then, the Lyapunov uniform stabilization of the underlying systems is solved, where a state-feedback control law is designed. Finally, two illustrative examples are given to show the correctness of the present results.
引用
收藏
页码：1493 / 1498
页数：6
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