Reliable L1 control of positive switched systems with time-varying delays

被引：1
|
作者：
Xiang, Mei [1 ]
Xiang, Zhengrong [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
reliable control; positive systems; switched systems; time-varying delays; LMI; H-INFINITY CONTROL; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; STABILIZATION; MODEL;
D O I：
10.1186/1687-1847-2013-25
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the reliable L-1 control problem of positive switched systems with time-varying delays. Under the case where both stable and unstable subsystems coexist, sufficient conditions are proposed to guarantee the exponential stability of positive switched systems with time-varying delays, and the average dwell time approach is utilized for the stability analysis. The result is also extended to solve the reliable L-1 control problem. All the results are formulated in a set of linear matrix inequalities (LMIs), which can be easily verified or implemented. The obtained theoretical results are demonstrated by a numerical example.
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页数：15
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