Almost periodic solutions for neutral-type neural networks with the delays in the leakage term on time scales

被引：8
|
作者：
Wang, Pan [1 ]
Li, Yongkun [1 ]
Ye, Yuan [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
[2] Yunnan Univ, Grad Sch, Kunming 650091, Yunnan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 15期
关键词：
almost periodic solution; global exponential stability; neural networks; time scales; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; EXISTENCE;
D O I：
10.1002/mma.3857
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of neutral-type neural networks with delays in the leakage term on time scales are considered. By using the Banach fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solutions for this class of neural networks. The results of this paper are new and complementary to the previously known results. Finally, an example is presented to illustrate the effectiveness of our results. Copyright (C) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：4297 / 4310
页数：14
相关论文
共 50 条
  • [31] Novel Sufficient Conditions on Periodic Solutions for Discrete-Time Neutral-Type Neural Networks
    He, Dan
    Zhou, Bin
    Zhang, Zhengqiu
    NEURAL PROCESSING LETTERS, 2020, 51 (01) : 543 - 557
  • [32] Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays
    Qiu, Hongjun
    Zhang, Yanhong
    Kong, Fanchao
    FILOMAT, 2023, 37 (18) : 6021 - 6040
  • [33] Existence and exponential stability of almost-periodic solutions for neutral BAM neural networks with time-varying delays in leakage terms on time scales
    Gao, Jin
    Wang, Qiru
    Lin, Yuan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) : 1361 - 1375
  • [34] Almost periodic solutions for cellular neural networks with time-varying delays in leakage terms
    Zhang, Hong
    Shao, Jianying
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (24) : 11471 - 11482
  • [35] Almost automorphic solution for neutral type high-order Hopfield BAM neural networks with time-varying leakage delays on time scales
    Yang, Wengui
    Yu, Wenwu
    Cao, Jinde
    Alsaadi, Fuad E.
    Hayat, Tasawar
    NEUROCOMPUTING, 2017, 267 : 241 - 260
  • [36] Weighted pseudo-almost periodic functions on time scales with applications to cellular neural networks with discrete delays
    Li, Yongkun
    Zhao, Lili
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1905 - 1921
  • [37] 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
  • [38] Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays
    Xu, Changjin
    Zhang, Qiming
    Wu, Yusen
    NETWORK-COMPUTATION IN NEURAL SYSTEMS, 2014, 25 (04) : 168 - 192
  • [39] Pseudo almost periodic solutions for neutral-type FCNNs with D operator and time-varying delays
    Tang, Yi
    Wang, Zengyun
    Long, Zhiwen
    JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2019, 31 (02) : 311 - 323
  • [40] Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays
    Liu, Bingwen
    NEUROCOMPUTING, 2015, 148 : 445 - 454
12345