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

共 50 条

[21] Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays
Kwon, O. M.
Park, M. J.
Park, Ju H.
Lee, S. M.
Cha, E. J.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (04) : 1949 - 1962
[22] Switched Discrete-Time Delay Systems: Delay-Dependent Analysis and Synthesis
Magdi S. Mahmoud
Fouad M. Al-Sunni
Yan Shi
Circuits, Systems & Signal Processing, 2009, 28 : 735 - 761
[23] Switched Discrete-Time Delay Systems: Delay-Dependent Analysis and Synthesis
Mahmoud, Magdi S.
Al-Sunni, Fouad M.
Shi, Yan
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (05) : 735 - 761
[24] Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay
Stojanovic, Sreten
Stojanovic, Milan
Stevanovic, Milos
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[25] Stability analysis of discrete-time systems with time-varying delay via a delay-dependent matrix-separation-based inequality✩
Zhang, Chuan-Ke
Chen, Wen-Hu
Zhu, Cui
He, Yong
Wu, Min
AUTOMATICA, 2023, 156
[26] Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique
Zhang, Hui
Shi, Yang
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2012, 134 (04):
[27] Delay-dependent robust stability analysis for discrete-time systems with multiple delays
College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032, China
Kong Zhi Li Lun Yu Ying Yong, 2006, 4 (636-639+648):
[28] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
Liang Lin XIONG 1
2.School of Applied Mathematics
3.Key Laboratory for NeuroInformation of Ministry of Education
4.School of Computer Science and Engineering
Journal of Mathematical Research with Applications, 2011, (02) : 224 - 232
[29] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
Liang Lin XIONG Shou Ming ZHONG Mao YE School of Mathematics and Computer ScienceYunnan Nationalities UniversityYunnan PRChinaSchool of Applied MathematicsUniversity of Electronic Science and Technology of ChinaSichuan PRChinaKey Laboratory for NeuroInformation of Ministry of EducationUniversity of Electronic Science and Technology of ChinaSichuan PRChinaSchool of Computer Science and EngineeringUniversity of Electronic Science and Technology of ChinaSichuan PRChina
数学研究与评论, 2011, 31 (02) : 224 - 232
[30] New delay-dependent stability criterion for discrete-time recurrent neural networks with time-varying delay
Zhu, Xun-Lin
Shang, Zhanlei
Yang, Hong-Yong
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4343 - +

← 1 2 3 4 5 →