New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays

被引：1

作者：

Yotha, Narongsak ^{[1
]}

Mukdasai, Kanit ^{[2
,3
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[2] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[3] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷

关键词：

EXPONENTIAL STABILITY; D-STABILIZATION;

D O I：

10.1155/2013/929725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

引用

页数：10

共 50 条

[1] Delay-Dependent Stability Criterion for Discrete-Time Systems with Time-Varying Delays
Hua, Changchun
Wu, Shuangshuang
Bai, Zhenhua
Guan, Xinping
[J]. ASIAN JOURNAL OF CONTROL, 2017, 19 (02) : 708 - 716
[2] 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
[J]. Journal of Mathematical Research with Applications, 2011, (02) : 224 - 232
[3] 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
[J]. 数学研究与评论, 2011, 31 (02) - 232
[4] New Delay-dependent Stability Criteria for Discrete-time Systems with An Interval Time-varying State Delay
Zhu, Huanyu
Hu, Yanmei
Zhang, Xian
[J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 3004 - 3009
[5] New approach to delay-dependent stability of two-dimensional discrete-time systems with interval time-varying delays
Zhang, Jing
Peng, Dan
Hua, Changchun
Zhang, Ting
[J]. 2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 5604 - 5609
[6] Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays
O. M. Kwon
M. J. Park
Ju H. Park
S. M. Lee
E. J. Cha
[J]. Circuits, Systems, and Signal Processing, 2013, 32 : 1949 - 1962
[7] 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.
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (04) : 1949 - 1962
[8] On delay-interval-dependent robust stability of LPD discrete-time system with mixed time-varying delays and nonlinear uncertainties
Mukdasai, Kanit
Kaewbanjak, Narongrit
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[9] Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay
Mukdasai, Kanit
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[10] On delay-interval-dependent robust stability of LPD discrete-time system with mixed time-varying delays and nonlinear uncertainties
Kanit Mukdasai
Narongrit Kaewbanjak
[J]. Advances in Difference Equations, 2019

← 1 2 3 4 5 →