On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales

被引：19

作者：

Xu, Changjin ^{[1
]}

Wu, Yusen ^{[2
]}

机构：

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

[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cellular neural networks; almost automorphic solution; exponential stability; leakage term; time-varying delay; ALMOST-PERIODIC SOLUTIONS; ANTIPERIODIC SOLUTIONS; EXPONENTIAL STABILITY; GLOBAL STABILITY; DYNAMIC EQUATIONS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.3233/IFS-151766

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, cellular neural networks(CNNs) with time-varying leakage delays on time scales are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions are obtained for the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the obtained results.

引用

页码：423 / 436

页数：14

共 50 条

[31] Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales
Li, Yongkun
Meng, Xiaofang
Xiong, Lianglin
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (06) : 1915 - 1927
[32] Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales
Yongkun Li
Xiaofang Meng
Lianglin Xiong
International Journal of Machine Learning and Cybernetics, 2017, 8 : 1915 - 1927
[33] Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales
Meng, Xiaofang
Li, Yongkun
AIMS MATHEMATICS, 2021, 6 (09): : 10070 - 10091
[34] Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales
Li, Yongkun
Yang, Li
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 679 - 693
[35] Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Time-Varying and Distributed Delays
Fu, Chaojin
Wu, Ailong
COMPUTATIONAL INTELLIGENCE AND INTELLIGENT SYSTEMS, 2009, 51 : 162 - 170
[36] Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays
Liu, BW
Huang, LH
PHYSICS LETTERS A, 2005, 341 (1-4) : 135 - 144
[37] Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Cai, Mingshan
Zhang, Hong
Yuan, Zhaohui
MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 78 (04) : 548 - 558
[38] Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays
Li, Bing
Cao, Yuwei
Li, Yongkun
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2024, 55 (01) : 102 - 118
[39] Almost periodic solutions for a memristor-based neural networks with leakage, time-varying and distributed delays
Jiang, Ping
Zeng, Zhigang
Chen, Jiejie
NEURAL NETWORKS, 2015, 68 : 34 - 45
[40] Exponential Stability of BAM Fuzzy Cellular Neural Networks with Time-Varying Delays in Leakage Terms and Impulses
Li, Yongkun
Li, Youqin
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →