DELAY DEPENDENT STABILITY OF LINEAR TIME-DELAY SYSTEMS

被引：3
|
作者：
Stojanovic, Sreten B. [1 ]
Debeljkovic, Dragutin Lj. [2 ]
机构：
[1] Univ Nis, Fac Technol, Bulevar Oslobodjenja 124, Leskovac 16000, Serbia
[2] Univ Belgrade, Fac Mech Engn, Belgrade 11000, Serbia
来源：
THEORETICAL AND APPLIED MECHANICS | 2013年 / 40卷 / 02期
关键词：
continuous time-delay systems; discrete time-delay systems; large-scale time-delay systems; delay-dependent stability; Lyapunov stability; necessary and sufficient conditions;
D O I：
10.2298/TAM1302223S
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay systems are derived. These results have been extended to the large-scale time-delay systems covering the cases of two and multiple existing subsystems. The delay-dependent criteria are derived by Lyapunov's direct method and are exclusively based on the solvents of particular matrix equation and Lyapunov equation for non-delay systems. Obtained stability conditions do not possess conservatism. Numerical examples have been worked out to show the applicability of results derived.
引用
收藏
页码：223 / 245
页数：23
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