Global exponential stability of delay difference equations with delayed impulses

被引：25

作者：

Zhang, Yu ^{[1
]}

机构：

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

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 132卷

基金：

中国国家自然科学基金;

关键词：

Exponential stability; Delay difference equation; Impulse; Lyapunov function; Razumikhin technique; NEURAL-NETWORKS; SWITCHING SYSTEMS; STABILIZATION; THEOREMS;

D O I：

10.1016/j.matcom.2016.08.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper investigates the global exponential stability of delay difference equations with delayed impulses. By virtue of Lyapunov functions together with Razumikhin technique, a number of global exponential stability criteria are provided. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabilizer are obtained. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the Razumikhin type exponential stability results for delay difference equations with delayed impulses are given. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：183 / 194

页数：12

共 32 条

[1]

Agarwal Ravil P, 2000, DIFFERENCE EQUATIONS

[2]

[Anonymous], 2001, INTRO APPL

[3] Convex Dwell-Time Characterizations for Uncertain Linear Impulsive Systems [J].

Briat, Corentin ;

Seuret, Alexandre .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (12) :3241-3246

[4] Oscillation theorems for nonlinear hyperbolic systems with impulses [J].

Cui, Baotong ;

Han, Mao'an .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (01) :94-102

[5] Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations [J].

Fu, XL ;

Liu, XZ .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 102 (2-3) :237-255

[6] Stabilization of polytopic delay difference inclusions via the Razumikhin approach [J].

Gielen, R. H. ;

Lazar, M. .

AUTOMATICA, 2011, 47 (12) :2562-2570

[7] On hybrid impulsive and switching systems and application to nonlinear control [J].

Guan, ZH ;

Hill, DJ ;

Shen, XM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (07) :1058-1062

[8] Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses [J].

Khadra, Anmar ;

Liu, Xinzhi Z. ;

ShermanShen, Xuemin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) :923-928

[9]

Lakshmikantham V., 1989, World scientific, V6

[10] Asymptotic behaviors of non-autonomous impulsive difference equation with delays [J].

Li, Bing ;

Song, Qiankun .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (07) :3423-3433

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