Further results on stability analysis of discrete-time systems with time-varying delays via the use of novel convex combination coefficients

被引：19
作者：
Kim, Sung Hyun [1 ]
机构：
[1] Univ Ulsan, Sch Elect Engn, Ulsan 680749, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 261卷
关键词：
Second-order time-varying delay; Robust stability analysis; H-infinity performance; Reciprocally convex approach; H-INFINITY CONTROL; S FUZZY-SYSTEMS; DEPENDENT STABILITY; NEURAL-NETWORKS; INEQUALITY APPROACH; ROBUST STABILITY; STABILIZATION; CRITERIA;
D O I：
10.1016/j.amc.2015.03.086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on deriving an improved stability criterion for discrete time-delay systems via a Lyapunov-Krasovskii functional approach that takes advantage of triple summation terms. To this end, novel convex combination coefficients coupled with second-order time-varying delay terms are introduced, and the corresponding reciprocally convex approach is established with the use of the minimal number of slack matrix variables. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed method, with particular regard to robustness and performance. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：104 / 113
页数：10
相关论文
共 32 条
[1]  
Chiasson J., 2007, Applications of time delay systems
[2]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[3]   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
[4]  
Gu K., 1977, THEORY FUNCTIONAL DI
[5]  
Gu K., 2003, CONTROL ENGN SER BIR
[6]   Networked Control System: Overview and Research Trends [J].
Gupta, Rachana Ashok ;
Chow, Mo-Yuen .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2010, 57 (07) :2527-2535
[7]   A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays [J].
Han, QL .
AUTOMATICA, 2004, 40 (10) :1791-1796
[8]   Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay [J].
He, Yong ;
Wu, Min ;
Han, Qing-Long ;
She, Jin-Hua .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (04) :427-436
[9]   Further improvement of free-weighting matrices technique for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Xie, Lihua ;
Lin, Chong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299
[10]   Delay-dependent exponential stability of delayed neural networks with time-varying delay [J].
He, Yong ;
Wu, Min ;
She, Jin-Hua .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) :553-557
1234