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

页码：223 / 245

页数：23

共 50 条

[31] New insight into delay-dependent stability of time-delay systems
Xu, Shengyuan
Lam, James
Zhang, Baoyong
Zou, Yun
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (07) : 961 - 970
[32] Delay-dependent stability criteria for uncertain time-delay systems
Yang, Bin
Pan, Dehui
Dongbei Daxue Xuebao/Journal of Northeastern University, 1998, 19 (04): : 355 - 357
[33] Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control
Sun, JT
CHAOS SOLITONS & FRACTALS, 2004, 21 (01) : 143 - 150
[34] Delay decomposition approach to delay-dependent stability for singular time-delay systems
Zhu, S.
Li, Z.
Zhang, C.
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11): : 2613 - 2620
[35] Improved Delay-Dependent Stability Criteria for Linear System with Time-Delay
Zeng, Hongbing
Xiao, Shenping
Wang, Bing
Huang, Langchen
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS I AND II, 2009, : 459 - 462
[36] An analysis method to delay-dependent stability in time-delay linear system
Kim, Kyungsup
Kim, Byung-yong
PROCEEDINGS OF THE EIGHTH IASTED INTERNATIONAL CONFERENCE ON CONTROL AND APPLICATIONS, 2006, : 285 - +
[37] Delay-dependent Stability Criterion for Discrete Linear Time-delay Systems with State Saturation Nonlinearity
Ji, Xiaofu
Ren, Mingwei
Yang, Zebin
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2559 - 2564
[38] Survey on the stability analysis of linear time-delay systems
Zhang, Dong-Mei
Yu, Li
Kongzhi yu Juece/Control and Decision, 2008, 23 (08): : 841 - 849
[39] STABILITY ANALYSIS OF LINEAR-SYSTEMS WITH TIME-DELAY
SU, JH
FONG, IK
TSENG, CL
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (06) : 1341 - 1344
[40] On the stability and stabilization of linear neutral time-delay systems
Nian, XH
Gui, WH
Huang, ZW
INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOL 1-4, PROCEEDINGS, 2005, : 3769 - 3774

← 1 2 3 4 5 →