Necessary and sufficient stability condition of discrete state delay systems

被引：0

作者：

Suh, YS ^{[1
]}

Ro, YS ^{[1
]}

Kang, HJ ^{[1
]}

Lee, HH ^{[1
]}

机构：

[1] Univ Ulsan, Dept Elect Engn, Ulsan 680749, South Korea

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2004年 / 2卷 / 04期

关键词：

time delay systems; stability; Lyapunov function; discrete systems;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

引用

页码：501 / 508

页数：8

共 50 条

[21] COUNTER-EXAMPLES TO SUFFICIENT AND NECESSARY CONDITION FOR THE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INTERVAL SYSTEMS
KOLLA, SR
FARISON, JB
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (04) : 1751 - 1752
[22] COUNTER-EXAMPLE TO SUFFICIENT AND NECESSARY CONDITION FOR THE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INTERVAL SYSTEMS
SHI, YQ
ZHANG, H
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (03) : 1095 - 1097
[23] A NECESSARY AND SUFFICIENT CONDITION FOR ROBUST ASYMPTOTIC STABILITY OF TIME-VARIANT DISCRETE-SYSTEMS
BAUER, PH
PREMARATNE, K
DURAN, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (09) : 1427 - 1430
[24] A necessary and sufficient condition for designing formation of discrete-time multi-agent systems with delay
Xu, Gesheng
Huang, Chi
Zhai, Guisheng
[J]. NEUROCOMPUTING, 2018, 315 : 48 - 58
[25] SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF DISCRETE INTERVAL SYSTEMS
JUANG, YT
TUNG, SL
HO, TC
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (05) : 1799 - 1803
[26] A necessary and sufficient condition for stability of a class of planar nonlinear systems
Zou, Yunlei
Qian, Chunjiang
He, Shuaipeng
[J]. AUTOMATICA, 2020, 121
[27] The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay
Zevin, A. A.
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2010, 74 (04): : 384 - 388
[28] Stability of discrete state delay systems
Suh, YS
[J]. PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 4727 - 4732
[29] A NECESSARY AND SUFFICIENT CONDITION FOR GYROLITE STABILITY
SEN, AK
[J]. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1980, 16 (02) : 144 - 149
[30] A necessary and sufficient condition for bounded-input bounded-state stability of nonlinear systems
Bacciotti, A
Mazzi, L
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (02) : 478 - 491

← 1 2 3 4 5 →