Exponential stability of impulsive discrete systems with time delays

被引：26

作者：

Zhang, Yu ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Exponential stability; Discrete system; Delay; Impulse; Lyapunov functional; NEURAL-NETWORKS;

D O I：

10.1016/j.aml.2012.06.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to investigate the global exponential stability of impulsive discrete systems with time delays. By using Lyapunov functionals, a number of new global exponential stability criteria are provided. It is shown that a discrete system with time delays can be globally exponentially stabilized by impulses even if it may be unstable itself. Some examples are also presented to illustrate the effectiveness and the superiority of the obtained results. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2290 / 2297

页数：8

共 50 条

[21] Robust exponential stability of interconnected switched systems with mixed delays and impulsive effect [J].

Xue, Huanbin ;

Zhang, Jiye .

NONLINEAR DYNAMICS, 2019, 97 (01) :679-696

[22] Exponential stability theorems for discrete-time impulsive stochastic systems with delayed impulses [J].

Cai, Ting ;

Cheng, Pei .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (02) :1253-1279

[23] Robust exponential stability of uncertain discrete time impulsive switching systems with state delay [J].

Zong G. ;

Wu Y. ;

Zhang B. ;

Kong Y. .

Journal of Control Theory and Applications, 2007, 5 (4) :351-356

[24] EXPONENTIAL STABILITY ANALYSIS AND STABILIZATION OF DISCRETE-TIME NONLINEAR SWITCHED SYSTEMS WITH TIME DELAYS [J].

Zhang, Guojiang ;

Han, Chunsong ;

Guan, Yu ;

Wu, Ligang .

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2012, 8 (3A) :1973-1986

[25] On exponential stability of switched systems with time delays [J].

Wang, Shaohua ;

Qian, Wei ;

Gao, Yan .

2008 PROCEEDINGS OF INFORMATION TECHNOLOGY AND ENVIRONMENTAL SYSTEM SCIENCES: ITESS 2008, VOL 4, 2008, :1175-1180

[26] Exponential stability of predictor feedback for discrete-Time linear systems with input delays [J].

Choi, Joon-Young .

Choi, J.-Y. (jyc@pusan.ac.kr), 2013, Institute of Control, Robotics and Systems (19) :583-586

[27] Exponential stability analysis of linear discrete-time systems with two constant delays [J].

Liu, Xinxiao ;

Wang, Yantao ;

Lyu, Jianting ;

Zhang, Xian .

2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, :1239-1243

[28] EXPONENTIAL STABILITY AND STABILIZATION OF LINEAR SYSTEMS WITH TIME VARYING DELAYS [J].

Amri, Issam ;

Soudani, Dhaou ;

Benrejeb, Mohamed .

2009 6TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES, VOLS 1 AND 2, 2009, :168-173

[29] Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems [J].

Chen, Yuanqiang ;

Xu, Honglei .

JOURNAL OF GLOBAL OPTIMIZATION, 2012, 52 (02) :323-334

[30] Exponential stability of the neural networks with time-varying discrete and distributed delays [J].

Li, Qingbo ;

Wang, Shujuan ;

Wu, Yuanyuan .

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, :2453-+

← 1 2 3 4 5 →