DELAY-DEPENDENT STABILITY ANALYSIS FOR DISCRETE-TIME SYSTEMS WITH TIME VARYING STATE DELAY

被引：8

作者：

Stojanovic, Sreten B. ^{[1
]}

Debeljkovic, Dragutin L. J. ^{[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 | 2011年 / 17卷 / 04期

关键词：

time-delay systems; interval time-varying delay; asymptotic stability; delay-dependent stability; Lyapunov method; H-INFINITY CONTROL; ROBUST STABILITY; DYNAMIC-SYSTEMS; STABILIZATION; CRITERION;

D O I：

10.2298/CICEQ110621035S

中图分类号：

O69 [应用化学];

学科分类号：

081704 ;

摘要：

The stability of discrete systems with time-varying delay is considered. Some sufficient delay-dependent stability conditions are derived using an appropriate model transformation of the original system. The criteria are presented in the form of LMI, which are dependent on the minimum and maximum delay bounds. It is shown that the stability criteria are approximately the same conservative as the existing ones, but have much simpler mathematical form. The numerical example is presented to illustrate the applicability of the developed results.

引用

页码：497 / 504

页数：8

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