Discrete Wirtinger-based inequality and its application

被引：165
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
相关论文
共 42 条
[1]   Optimal partitioning method for stability analysis of continuous/discrete delay systems [J].
Feng, Zhiguang ;
Lam, James ;
Yang, Guang-Hong .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (04) :559-574
[2]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[3]   New conditions for delay-derivative-dependent stability [J].
Fridman, Emilia ;
Shaked, Uri ;
Liu, Kun .
AUTOMATICA, 2009, 45 (11) :2723-2727
[4]   Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].
Gao, H ;
Lam, J ;
Wang, C ;
Wang, Y .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698
[5]   New results on stability of discrete-time systems with time-varying state delay [J].
Gao, Huijun ;
Chen, Tongwen .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334
[6]  
GOUAISBAUT F., 2006, Proc. of the 6th IFAC Workshop on Time Delay System TDS06, LAquila, P54, DOI [10.3182/20060710-3-it-4901.00010, DOI 10.3182/20060710-3-IT-4901.00010]
[7]  
Gu K., 2003, CONTROL ENGN SER BIR
[8]   Delay-range-dependent stability for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Lin, Chong ;
Wu, Min .
AUTOMATICA, 2007, 43 (02) :371-376
[9]   Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay [J].
Huang, H. ;
Feng, G. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) :2152-2159
[10]   Note on stability of linear systems with time-varying delay [J].
Kim, Jin-Hoon .
AUTOMATICA, 2011, 47 (09) :2118-2121
12345