Periodic solution problems of neutral-type stochastic neural networks with time-varying delays

被引：1
|
作者：
Zheng, Famei [1 ]
Li, Xiaoliang [2 ]
Du, Bo [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian, Jiangsu, Peoples R China
[2] Zhejiang Agr & Forestry Univ, Jiyang Coll, Zhuji, Zhejiang, Peoples R China
来源：
FRONTIERS IN PHYSICS | 2024年 / 12卷
基金：
中国国家自然科学基金;
关键词：
periodic solution; stochastic; neutral-type neural networks; existence; exponential stability; NONAUTONOMOUS LOGISTIC EQUATION; ROBUST-STABILITY-CRITERIA; SYNCHRONIZATION;
D O I：
10.3389/fphy.2024.1338799
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is devoted to investigating a class of stochastic neutral-type neural networks with delays. By using the fixed point theorem and the properties of neutral-type operator, we obtain the existence conditions for periodic solutions of stochastic neutral-type neural networks. Furthermore, we obtain the conditions for the exponential stability of periodic solutions using Gronwall-Bellman inequality and stochastic analysis technique. Finally, a numerical example is given to show the effectiveness and merits of the present results. Our results can be used to obtain the existence and exponential stability of periodic solution to the corresponding deterministic systems.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Periodic solution for neutral-type inertial neural networks with time-varying delays
    Mei Xu
    Bo Du
    [J]. Advances in Difference Equations, 2020
  • [2] Periodic solution for neutral-type inertial neural networks with time-varying delays
    Xu, Mei
    Du, Bo
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [3] On Robust Stability for Stochastic Neural Networks of Neutral-Type with Uncertainties and Time-Varying Delays
    Liu, Guoquan
    Yang, Simon X.
    [J]. ADVANCED MATERIALS AND ENGINEERING MATERIALS, PTS 1 AND 2, 2012, 457-458 : 716 - 722
  • [4] Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays
    Qiu, Hongjun
    Zhang, Yanhong
    Kong, Fanchao
    [J]. FILOMAT, 2023, 37 (18) : 6021 - 6040
  • [5] Global stability for neural networks of neutral-type with interval time-varying delays
    Park, Ju H.
    Kwon, O. M.
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (03) : 1174 - 1181
  • [6] STABILITY FOR NEURAL NETWORKS OF NEUTRAL-TYPE SYSTEMS WITH TIME-VARYING DELAYS ARGUMENTS
    Bu, Wei-Chun
    Zhong, Shou-Ming
    [J]. 2008 INTERNATIONAL CONFERENCE ON APPERCEIVING COMPUTING AND INTELLIGENCE ANALYSIS (ICACIA 2008), 2008, : 110 - 113
  • [7] Stochastic robust stability for neutral-type impulsive interval neural networks with distributed time-varying delays
    Hu, Wenfeng
    Li, Chuandong
    Wu, Sichao
    [J]. NEURAL COMPUTING & APPLICATIONS, 2012, 21 (08): : 1947 - 1960
  • [8] Robust stability criteria for uncertain stochastic neural networks of neutral-type with interval time-varying delays
    Guoquan Liu
    Simon X. Yang
    Yi Chai
    Wei Feng
    Wei Fu
    [J]. Neural Computing and Applications, 2013, 22 : 349 - 359
  • [9] Analysis of Adaptive Synchronization for Stochastic Neutral-Type Memristive Neural Networks with Mixed Time-Varying Delays
    Hong, Desheng
    Xiong, Zuoliang
    Yang, Cuiping
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [10] State estimation for neural networks of neutral-type with interval time-varying delays
    Park, Ju H.
    Kwon, O. M.
    Lee, S. M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 217 - 223
12345