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

[21] Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays
Chaouki Aouiti
Mohammed Salah M’hamdi
Abderrahmane Touati
Neural Processing Letters, 2017, 45 : 121 - 140
[22] Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays
Aouiti, Chaouki
M'hamdi, Mohammed Salah
Touati, Abderrahmane
NEURAL PROCESSING LETTERS, 2017, 45 (01) : 121 - 140
[23] Almost automorphic solutions for neutral type CNNs with time-varying delays and D operator on time scales
Li, Bing
Li, Yongkun
TBILISI MATHEMATICAL JOURNAL, 2019, 12 (02) : 89 - 100
[24] Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms
Peng, Lequn
Wang, Wentao
NEUROCOMPUTING, 2013, 111 : 27 - 33
[25] (ω,c)-Asymptotically periodic oscillation of cellular neural networks on time scales with leakage delays and mixed time-varying delays
Bharti, Puja
Dhama, Soniya
Neural Networks, 2025, 185
[26] Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales
Li, Yongkun
Wang, Lei
Fei, Yu
JOURNAL OF APPLIED MATHEMATICS, 2014,
[27] Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Liu, Bingwen
Huang, Lihong
APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 70 - 74
[28] Almost automorphic solutions for Clifford-valued neutral-type fuzzy cellular neural networks with leakage delays on time scales
Li, Yongkun
Shen, Shiping
NEUROCOMPUTING, 2020, 417 (417) : 23 - 35
[29] Anti-periodic solutions for a shunting inhibitory cellular neural networks with distributed delays and time-varying delays in the leakage terms
Xu, Changjin
Zhang, Qiming
WSEAS Transactions on Mathematics, 2014, 13 : 736 - 746
[30] Periodic Solutions for Impulsive Stochastic BAM Neural Networks with Time-Varying Delays in Leakage Terms
Yang, Li
Li, Yongkun
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 2013

← 1 2 3 4 5 →