Exponential stability of impulsive discrete systems with time delays

被引：27
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
收藏
页码：2290 / 2297
页数：8
相关论文
共 50 条
[31]   Exponential Stability of the Neural Networks with Discrete and Distributed Time-Varying Delays [J].
Li, Qingbo ;
Xing, Peixu ;
Wu, Yuanyuan .
ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 :569-+
[32]   Exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays [J].
Zheng, Cheng-De ;
Sun, Ri-Ming ;
Wang, Zhanshan .
INTERNATIONAL JOURNAL OF INTELLIGENT COMPUTING AND CYBERNETICS, 2013, 6 (02) :144-157
[33]   Global exponential stability of Hopfield neural networks with variable delays and impulsive effects [J].
Yang Zhi-chun ;
Xu Dao-yi .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (11) :1517-1522
[34]   Stability analysis of switched impulsive systems with time delays [J].
Zhu, Wei .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) :608-617
[35]   GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS [J].
杨志春 ;
徐道义 .
Applied Mathematics and Mechanics(English Edition), 2006, (11) :1517-1522
[36]   Global exponential stability of Hopfield neural networks with variable delays and impulsive effects [J].
Zhi-chun Yang ;
Dao-yi Xu .
Applied Mathematics and Mechanics, 2006, 27 :1517-1522
[37]   Exponential stability of discrete time-varying purturbed Markov switched systems with impulsive jump [J].
Gao, Lijun ;
Wu, Yuqiang .
WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, :319-+
[38]   The method of Lyapunov functionals and exponential stability of impulsive systems with time delay [J].
Liu, Xinzhi ;
Wang, Qing .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) :1465-1484
[39]   Exponential Stability for Switched Discrete-time Nonlinear Cascade Systems with Time-varying Delays [J].
Guo Kai ;
Zhang Xiaoli .
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, :1539-1544
[40]   Exponential Stability of a Class of Impulsive Neural Networks with Variable Delays [J].
Yang, Jianfu ;
Yang, Fengjian ;
Tao, Jicheng ;
Li, Wei ;
Wu, Dongqing .
2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, :1370-+
12345