FINITE-TIME STABILITY OF DISCRETE-TIME SYSTEMS WITH TIME-VARYING DELAY

被引：22
|
作者：
Stojanovic, Sreten B. [1 ]
Debeljkovic, Dragutin L. J. [2 ]
Dimitrijevic, Nebojsa [2 ]
机构：
[1] Univ Nis, Fac Technol, Leskovac, Serbia
[2] Univ Belgrade, Fac Mech Engn, Dept Control Engn, Belgrade, Serbia
来源：
CHEMICAL INDUSTRY & CHEMICAL ENGINEERING QUARTERLY | 2012年 / 18卷 / 04期
关键词：
finite-time stability; time-delay discrete systems; time-varying delay; LMIs; Lyapunov-like method; STABILIZATION; THEOREM;
D O I：
10.2298/CICEQ120126026S
中图分类号：
O69 [应用化学];
学科分类号：
081704 ;
摘要：
Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method and using an appropriate model transformation of the original sysem, the sufficient delay-dependent finite-time stability conditions are derived. The criteria are presented in the form of LMIs, which are dependent on the minimum and maximum delay bounds. The numerical examples are presented to illustrate the applicability of the developed results.
引用
收藏
页码：525 / 533
页数：9
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