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
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