Novel Sufficient Conditions on Periodic Solutions for Discrete-Time Neutral-Type Neural Networks

被引:0
作者
Dan He
Bin Zhou
Zhengqiu Zhang
机构
[1] Hunan Institute of Technology School of Mathematics,College of Mathematics and Econometrics
[2] Physics and Energy Engineering,undefined
[3] Hunan University,undefined
来源
Neural Processing Letters | 2020年 / 51卷
关键词
Periodic solutions; A class of neutral-type neural networks with time delays; Combining Mawhin’s continuation theorem of coincidence degree theory with graph theory as well as Lyapunov sequence method;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider the existence and global exponential stability of periodic solutions for a class of delayed discrete-time neutral-type neural networks. Novel sufficient conditions to guarantee the existence and global exponential stability of periodic solutions are established for above discrete-time neutral-type neural networks by combining Mawhin’s continuation theorem of coincidence degree theory with graph theory as well as Lyapunov sequence method. Our results on the existence and global exponential stability of periodic solutions are more concise and easily verified than those obtained in Du et al. (J Frankl Inst 353:448–461, 2016).
引用
收藏
页码:543 / 557
页数:14
相关论文
共 50 条
[41]   Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays [J].
Huang, H ;
Ho, DWC ;
Cao, JD .
NEURAL NETWORKS, 2005, 18 (02) :161-170
[42]   Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses [J].
Li, Yongkun ;
Wang, Chao .
FUZZY SETS AND SYSTEMS, 2013, 217 :62-79
[43]   EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR STOCHASTIC FUZZY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAY ON TIME SCALES [J].
Zhang, Qianhong ;
Lin, Fubiao ;
Wang, Guiying ;
Long, Zuqiang .
DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04) :851-871
[44]   Existence of Periodic Solutions for Cohen-Grossberg Neural Networks with Time-Varying Delays and Impulses [J].
Wu, Chunxue .
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 :521-528
[45]   Mean square exponential stability and periodic solutions of stochastic interval neural networks with mixed time delays [J].
Wang, Fen ;
Wu, Huaiyu .
NEUROCOMPUTING, 2010, 73 (16-18) :3256-3263
[46]   Impulsive discrete-time BAM neural networks with random parameter uncertainties and time-varying leakage delays: an asymptotic stability analysis [J].
Sowmiya, C. ;
Raja, R. ;
Cao, J. ;
Rajchakit, G. .
NONLINEAR DYNAMICS, 2018, 91 (04) :2571-2592
[47]   Global Lagrange Stability of Inertial Neutral Type Neural Networks with Mixed Time-Varying Delays [J].
Duan, Liyan ;
Jian, Jigui .
NEURAL PROCESSING LETTERS, 2020, 51 (02) :1849-1867
[48]   Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales [J].
Li, Yongkun ;
Yang, Li ;
Wu, Wanqin .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (07) :1127-1132
[49]   Existence and stability of periodic solutions for impulsive fuzzy BAM Cohen-Grossberg neural networks on time scales [J].
Cai, Shaohong ;
Zhang, Qianhong .
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[50]   Existence of periodic solutions of BAM neural networks with time-varying delays and reaction-diffusion terms [J].
Zhao, Zhenjiang ;
Song, Qiankun .
INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2006, 6 (2B) :63-69