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
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] 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
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) : 1361 - 1375
  • [32] Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays
    Kong, Fanchao
    Lu, Shiping
    Luo, Zhiguo
    [J]. NEURAL PROCESSING LETTERS, 2018, 48 (01) : 441 - 458
  • [33] Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays
    Xiaohu Wang
    Shuyong Li
    Daoyi Xu
    [J]. Nonlinear Dynamics, 2011, 64 : 65 - 75
  • [34] Global Asymptotic Stability of Periodic Solutions for Neutral-Type BAM Neural Networks with Delays
    Gao, Dongdong
    Li, Jianli
    [J]. NEURAL PROCESSING LETTERS, 2020, 51 (01) : 367 - 382
  • [35] Global Asymptotic Stability of Periodic Solutions for Neutral-Type BAM Neural Networks with Delays
    Dongdong Gao
    Jianli Li
    [J]. Neural Processing Letters, 2020, 51 : 367 - 382
  • [36] Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays
    Fanchao Kong
    Shiping Lu
    Zhiguo Luo
    [J]. Neural Processing Letters, 2018, 48 : 441 - 458
  • [37] The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales
    Li, Bing
    Li, Yongkun
    Meng, Xiaofang
    [J]. MATHEMATICS, 2019, 7 (04)
  • [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
    [J]. NETWORK-COMPUTATION IN NEURAL SYSTEMS, 2014, 25 (04) : 168 - 192
  • [39] Periodic solution for neutral-type inertial neural networks with time-varying delays
    Mei Xu
    Bo Du
    [J]. Advances in Difference Equations, 2020
  • [40] Periodic solution for neutral-type inertial neural networks with time-varying delays
    Xu, Mei
    Du, Bo
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)