Impulsive control of unstable homogeneous positive systems of degree one with unbounded time-varying delay

被引:0
|
作者
Yang, Huitao [1 ]
Zhang, Yu [2 ,3 ]
Zhu, Jingwen [1 ]
Hong, Shanshan [2 ]
机构
[1] Jinggangshan Univ, Sch Math & Phys, Jian, Peoples R China
[2] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
[3] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
mu-stability; homogeneous system; impulsive control; positive system; unbounded time-varying delay; INFINITY-GAIN ANALYSIS; STABILITY ANALYSIS; ROBUST STABILITY; LINEAR-SYSTEMS; MU-STABILITY; STABILIZATION; EQUATIONS;
D O I
10.1002/rnc.7026
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 investigates the impulsive control of unstable homogeneous positive systems of degree one with unbounded time-varying delay. By using max-separable Lyapunov functions and Razumikhin technique, sufficient conditions ensuring mu-stability are derived. It should be noted that it is the first time that impulsive stabilization results for such systems are given. A numerical example is presented to demonstrate the effectiveness of the control strategy.
引用
收藏
页码:1257 / 1276
页数:20
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