Discrete Wirtinger-based inequality and its application

被引：164
|
作者：
Nam, Phan T. [1 ]
Pathirana, Pubudu N. [2 ]
Trinh, H. [2 ]
机构：
[1] Quynhon Univ, Dept Math, Quy Nhon, Vietnam
[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 05期
基金：
澳大利亚研究理事会;
关键词：
TIME-VARYING STATE; DELAY-DEPENDENT STABILIZATION; IMPROVED STABILITY-CRITERION; SYSTEMS; DESIGN;
D O I：
10.1016/j.jfranklin.2015.02.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we derive a new inequality, which encompasses the discrete Jensen inequality. The new inequality is applied to analyze stability of linear discrete systems with an interval time-varying delay and a less conservative stability Condition is obtained. Two numerical exaMples are given to show the effectiveness of the obtained stability condition. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1893 / 1905
页数：13
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