Exponential stability of linear delay difference equations with continuous time

被引：7

作者：

Ngoc P.H.A. ^{[1
]}

Huy N.D. ^{[2
]}

机构：

[1] Department of Mathematics, Vietnam National University-HCMC, International University, Saigon

[2] Division of Applied Mathematics, Ho Chi Minh City University of Technology, Ho Chi Minh City

来源：

Vietnam Journal of Mathematics | 2015年 / 43卷 / 2期

关键词：

Delay difference equation with continuous time; Exponential stability; Perturbed equation;

D O I：

10.1007/s10013-014-0082-2

中图分类号：

学科分类号：

摘要：

Linear time-varying delay difference equations with continuous time are considered. New criteria for exponential stability are given. Furthermore, an explicit stability bound for equations subject to time-varying perturbations is presented. Some examples are given to illustrate the obtained results. © Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2014.

引用

页码：195 / 205

页数：10

共 50 条

[21] Exponential stability of a kind of stochastic delay difference equations
Ding, Xiaohua
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
[22] Exponential L2-stability for a class of linear systems governed by continuous-time difference equations
Damak, Serine
Di Loreto, Michael
Lombardi, Warody
Andrieu, Vincent
AUTOMATICA, 2014, 50 (12) : 3299 - 3303
[23] Exponential stability in mean square of impulsive stochastic difference equations with continuous time
Bao, Jianhai
Hou, Zhenting
Wang, Fuxing
APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 749 - 753
[24] Stability switches in linear delay difference equations
Cermak, Jan
Jansky, Jiri
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 755 - 766
[25] On exponential and L 2-exponential stability of continuous-time delay-difference systems
Li, Zhao-Yan
Zhang, Qianqian
Zhou, Bin
APPLIED MATHEMATICS AND COMPUTATION, 2024, 481
[26] Exponential stability in non-linear difference equations
Islam, MN
Raffoul, YN
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (09) : 819 - 825
[27] Criteria for the exponential stability of linear evolution difference equations
Zada, Akbar
Li, Tongxing
Arif, Muhammad
Lassoued, Dhaou
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (01) : 25 - 34
[28] New characterizations of exponential dichotomy and exponential stability of linear difference equations
Ngoc, PHA
Naito, T
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (10) : 909 - 918
[29] Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices
Medved, M.
Skripkova, L.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (22) : 1 - 13
[30] Global exponential stability of delay difference equations with delayed impulses
Zhang, Yu
MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 132 : 183 - 194

← 1 2 3 4 5 →