New Results on Stability of Linear Discrete-Time Systems With Time-Varying Delay

被引：6

作者：

Chen, Jun ^{[1
]}

Chen, Xiangyong ^{[2
,3
,4
]}

机构：

[1] Jiangsu Normal Univ, Sch Elect Engn & Automat, Xuzhou 221116, Jiangsu, Peoples R China

[2] Linyi Univ, Sch Automat & Elect Engn, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China

[3] Minist Educ, Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China

[4] Minist Educ, Engn Res Ctr Intelligent Technol Geoexplorat, Wuhan 430074, Peoples R China

来源：

IEEE ACCESS | 2020年 / 8卷

关键词：

Delays; Numerical stability; Discrete-time systems; Stability criteria; Time-varying systems; Linear matrix inequalities; Discrete-time system; free-matrix-based inequality; Lyapunov functional; stability; time-varying delay; SUMMATION INEQUALITIES; NEURAL-NETWORKS; CRITERIA;

D O I：

10.1109/ACCESS.2020.3028384

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the stability problem for linear discrete-time systems with a time-varying delay. Some relations between two general free-matrix-based summation inequalities are discussed. A novel Lyapunov-Krasovskii functional (LKF) is proposed by modifying the single- and double-summation LKF terms. As a result, a new stability condition is obtained by employing the general free-matrix-based summation inequalities reported recently. Numerical examples are given to show that the obtained stability condition is more relaxed than some of existing results.

引用

页码：180722 / 180727

页数：6

共 42 条

[1]

[Anonymous], 2019, DYNAMIC SYSTEMS TIME

[2] Improved Jaya Algorithm for Economic Dispatch Considering Valve-Point Effect and Multi-Fuel Options [J].

Chen, Chuanhu ;

Zou, Dexuan ;

Li, Chunliang .

IEEE ACCESS, 2020, 8 :84981-84995

[3] Stability analysis of systems with time-varying delay: a quadratic-partitioning method [J].

Chen, Jun ;

Park, Ju H. ;

Xu, Shengyuan .

IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18) :3184-3189

[4] Stability Analysis for Delayed Neural Networks With an Improved General Free-Matrix-Based Integral Inequality [J].

Chen, Jun ;

Park, Ju H. ;

Xu, Shengyuan .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (02) :675-684

[5] Stability analysis of discrete-time neural networks with an interval-like time-varying delay [J].

Chen, Jun ;

Park, Ju H. ;

Xu, Shengyuan .

NEUROCOMPUTING, 2019, 329 :248-254

[6] Stability Analysis for Neural Networks With Time-Varying Delay via Improved Techniques [J].

Chen, Jun ;

Park, Ju H. ;

Xu, Shengyuan .

IEEE TRANSACTIONS ON CYBERNETICS, 2019, 49 (12) :4495-4500

[7] Two novel general summation inequalities to discrete-time systems with time-varying delay [J].

Chen, Jun ;

Xu, Shengyuan ;

Ma, Qian ;

Li, Yongmin ;

Chu, Yuming ;

Zhang, Zhengqiang .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (13) :5537-5558

[8] Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay [J].

Chen, Jun ;

Xu, Shengyuan ;

Jia, Xianglei ;

Zhang, Baoyong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) :2470-2475

[9] Summation inequality and its application to stability analysis for time-delay systems [J].

Chen, Jun ;

Lu, Junwei ;

Xu, Shengyuan .

IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04) :391-395

[10] A Hybrid Task Scheduling Scheme for Heterogeneous Vehicular Edge Systems [J].

Chen, Xiao ;

Thomas, Nigel ;

Zhan, Tianming ;

Ding, Jie .

IEEE ACCESS, 2019, 7 :117088-117099

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