Stabilization analysis for discrete-time systems with time delay

被引：23
作者：
Liu, Zixin [1 ,2 ]
Lue, Shu [1 ]
Zhong, Shouming [1 ]
Ye, Mao [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 611731, Peoples R China
[2] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Engn & Comp Sci, Chengdu 611731, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Exponential stabilization; Delay-dependent stabilization; Discrete-time system; Time-varying delay; GUARANTEED COST CONTROL; STABILITY-CRITERION; DEPENDENT STABILITY; DIFFERENTIAL SYSTEMS; ROBUST STABILITY; NETWORKS;
D O I：
10.1016/j.amc.2010.03.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stabilization problem for a class of discrete-time systems with time-varying delay is investigated. By constructing an augmented Lyapunov function, some sufficient conditions guaranteeing exponential stabilization are established in forms of linear matrix inequality (LMI) technique. When norm-bounded parameter uncertainties appear in the delayed discrete-time system, a delay-dependent robust exponential stabilization criterion is also presented. All of the criteria obtained in this paper are strict linear matrix inequality conditions, which make the controller gain matrix can be solved directly. Three numerical examples are provided to demonstrate the effectiveness and improvement of the derived results. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2024 / 2035
页数：12
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