State-dependent switching control of delayed switched systems with stable and unstable modes

被引：83
|
作者：
Yang, Dan [1 ]
Li, Xiaodi [1 ,2 ]
Shen, Jianhua [3 ]
Zhou, Zhaojie [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Sch Phys & Elect, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan, Shandong, Peoples R China
[3] Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Lyapunov functional; stability; state-dependent switching; switched systems; time delay; TIME-VARYING DELAY; LINEAR-SYSTEMS; NEURAL-NETWORKS; NONLINEAR-SYSTEMS; IMPULSIVE CONTROL; TRACKING CONTROL; STABILITY; STABILIZATION; DESIGN; STABILIZABILITY;
D O I：
10.1002/mma.5209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of switching stabilization for a class of delayed switched systems is studied by using state-dependent switching control. Some sufficient conditions for asymptotic stability of delayed switched systems are derived, which are based on the Lyapunov functional method. The derived stability conditions can be applied for delayed switched systems with partial or all unstable modes. Moreover, a typical time delay called leakage delay existing in the negative feedback term of a system are also considered. Two numerical examples, that is, a switched system with two unstable modes and a switched system with delayed feedback control, are given to show the effectiveness of the main results.
引用
收藏
页码：6968 / 6983
页数：16
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