Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay

被引：0
作者：
Lijuan Zhu
Chengyun Zhu
机构：
[1] Yancheng Teachers University,School of Physics and Electronic Engineering
来源：
International Journal of Control, Automation and Systems | 2021年 / 19卷
关键词：
Discrete-time system; linear matrix inequality; Lyapunov-Krasovskii functional; stability; time-varying delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based summation inequality is proposed in this paper. In order to make full use of the improved inequality to bound the upper bounds of the difference Lyapunov-Krasovskii functional (LKF), an augmented LKF with some extra status information is constructed. A new delay-range-dependent stability criterion is derived in the form of linear matrix inequalities (LMIs) via the modified LKF approach. The criterion is less conservative than some existing results. Finally, some standard numerical examples are presented the effectiveness of the proposed approach.
引用
收藏
页码：2385 / 2394
页数：9
相关论文
共 148 条
[1]  
Zhang X(2018)Overview of recent advances in stability of linear systems with time-varying delays IET Control Theory & Applications 13 1-16
[2]  
Han Q(2020)Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays Mathematics and Computers in Simulation 171 233-245
[3]  
Seuret A(2020)Impulsive and pinning control synchronization of Markovian jumping complex dynamical networks with hybrid coupling and additive interval time-varying delays Communications in Nonlinear Science and Numerical Simulation 85 105-215
[4]  
Gouaisbaut F(2020)A delay-dependent anti-windup compensator for wide-area power systems with time-varying delays and actuator saturation IEEE/CAA Journal of Automatica Sinica 7 106-117
[5]  
He Y(2019)Further stability analysis for time-delayed neural networks based on an augmented Lyapunov functional IEEE Access 7 104655-104666
[6]  
Suntonsinsoungvon E(2019)Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty Applied Mathematics and Computation 350 224-236
[7]  
Udpin S(2010)Robust Fuzzy Sets and Systems 161 2731-2745
[8]  
Yogambigai J(2009) control for nonlinear systems over network: A piecewise analysis method International Journal of Robust and Nonlinear Control 19 1493-1518
[9]  
Ali M(2018)A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay International Journal of Control, Automation and Systems 16 2343-2353
[10]  
Alsulami H(2020)Improved sufficient LMI conditions for the robust stability of time-delayed neutral-type Lur’e systems Advances in Difference Equations 2020 1-13
12345678910