Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays

被引:35
作者
Kwon, O. M. [1 ]
Park, M. J. [1 ]
Park, Ju H. [2 ]
Lee, S. M. [3 ]
Cha, E. J. [4 ]
机构
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea
[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea
[4] Chungbuk Natl Univ, Dept Biomed Engn, Sch Med, Cheongju 361763, South Korea
基金
新加坡国家研究基金会;
关键词
Discrete-time systems; Interval time-varying delay; Stability; Lyapunov method; STABILIZATION;
D O I
10.1007/s00034-012-9543-6
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper considers the stability problem for discrete-time systems with interval time-varying delays. By construction of a suitable Lyapunov-Krasovskii (L-K) functional and utilization of Finsler's lemma, novel delay-dependent criteria for asymptotic stability of the systems are established in terms of linear matrix inequalities (LMIs) which can easily be solved by various effective optimization algorithms. Three numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:1949 / 1962
页数:14
相关论文
共 50 条
[21]   Delay Distribution Dependent Stability Criteria for Discrete-Time Systems with Interval Time-Varying Delay [J].
Xiao, Nan ;
Jia, Yingmin ;
Matsuno, Fumitoshi .
2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, :1733-1738
[22]   On improved delay-dependent robust stability criteria for uncertain discrete-time systems with multiple state delays [J].
Zhang, WA ;
Yu, L .
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 :1246-1253
[23]   Less conservative delay-dependent stability criteria for linear systems with interval time-varying delays [J].
Shao, Hanyong ;
Han, Qing-Long .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (05) :894-902
[24]   New approach to delay-dependent stability of two-dimensional discrete-time systems with interval time-varying delays [J].
Zhang, Jing ;
Peng, Dan ;
Hua, Changchun ;
Zhang, Ting .
2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, :5604-5609
[25]   Reciprocal Convex Approach to Delay-dependent Stability of Uncertain Discrete-time Systems with Time-varying Delay [J].
Ramakrishnan, K. ;
Ray, G. .
2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, :5450-5453
[26]   Delay-dependent Stability Criteria for Linear Systems with Two Additive Time-varying Delays [J].
Yan Li ;
Tingting Qiu ;
Yuehai Yang .
International Journal of Control, Automation and Systems, 2022, 20 :392-402
[27]   New Delay-dependent Stability Criteria for Linear Systems with Multiple Time-Varying Delays [J].
Shan, Qihe ;
Zhang, Huaguang ;
Yang, Feisheng .
PROCEEDINGS OF THE 2013 FOURTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP), 2013, :188-192
[28]   Further Improvement of Delay-Dependent Stability Criteria for Linear Systems with Time-Varying Delays [J].
Lee, Won Il ;
Jeong, Changki ;
Park, PooGyeon .
2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2012, :1300-1304
[29]   Delay-Dependent Stability Criteria for Systems with Time-Varying Delays: State Discretization Approach [J].
Ko, Jeong-Wan ;
Park, PooGyeon .
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (04) :1136-1141
[30]   Delay-dependent Stability Criteria for Linear Systems with Two Additive Time-varying Delays [J].
Li, Yan ;
Qiu, Tingting ;
Yang, Yuehai .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2022, 20 (02) :392-402