EXISTENCE AND EXPONENTIAL STABILITY OF ANTI-PERIODIC SOLUTIONS IN CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS AND IMPULSIVE EFFECTS

被引：0

作者：

Xu, Changjin ^{[1
]}

机构：

[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

Cellular neural network; anti-periodic solution; impulse; exponential stability; time-varying delay; CONTINUOUSLY DISTRIBUTED DELAYS; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; SCALES; OSCILLATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study a cellular neural network with impulsive effects. By using differential inequality techniques, we obtain verifiable criteria on the existence and exponential stability of anti-periodic solutions. An example is included to illustrate the feasibility and of our main results.

引用

页数：14

共 50 条

[41] Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms
Wang, Wentao
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[42] Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms
Wentao Wang
Advances in Difference Equations, 2013
[43] Existence and exponential stability of anti-periodic solutions for interval general bidirectional associative memory neural networks with multiple delays
Li, Xiaofei
Ding, Deng
Feng, Jianzhong
Hu, Songbo
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[44] Anti-periodic solutions for HCNNs with time-varying delays in the leakage terms
Xu, Yanli
NEURAL COMPUTING & APPLICATIONS, 2014, 24 (05) : 1047 - 1058
[45] Global exponential stability of cellular neural networks with time-varying delays
Luo, YP
Deng, FQ
Yao, HZ
2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 638 - 642
[46] Anti-periodic solutions for HCNNs with time-varying delays in the leakage terms
Yanli Xu
Neural Computing and Applications, 2014, 24 : 1047 - 1058
[47] Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays
Fu, Xiangying
Kong, Fanchao
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (7-8) : 807 - 820
[48] Existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales
Liu, Yang
Yang, Yongqing
Liang, Tian
Li, Li
NEUROCOMPUTING, 2014, 133 : 471 - 482
[49] Existence and Exponential Stability of Anti-periodic Solutions of High-order Hopfield Neural Networks with Delays on Time Scales
Zhao L.
Li Y.
Differential Equations and Dynamical Systems, 2011, 19 (1-2) : 13 - 26
[50] Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales
Li, Yongkun
Yang, Li
Wu, Wanqin
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (07) : 1127 - 1132

← 1 2 3 4 5 →