Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control

被引：75
|
作者：
Tong, Dongbing [1 ]
Zhou, Wuneng [2 ]
Zhou, Xianghui [2 ,3 ]
Yang, Jun [2 ,4 ]
Zhang, Liping [1 ]
Xu, Yuhua [5 ]
机构：
[1] Shanghai Univ Engn Sci, Sch Elect & Elect Engn, Shanghai 201620, Peoples R China
[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[3] Yangtze Univ, Freshman Educ Dept, Jing Zhou 134023, Hubei, Peoples R China
[4] Anyang Noma Univ, Sch Math & Stat, Anyang 455000, Peoples R China
[5] Ynnyang Teachers Coll, Dept Math & Finance, Shiyan 112000, Hubei, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 29卷 / 1-3期
基金：
上海市自然科学基金;
关键词：
Neural networks; Exponential synchronization; Adaptive feedback control; Multi-delayed; Stochastic noise; ASYMPTOTICAL STABILITY; JUMPING PARAMETERS; STATE ESTIMATION; TIME-DELAYS;
D O I：
10.1016/j.cnsns.2015.05.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the adaptive exponential synchronization problem for stochastic neural networks with multi-delayed and Markovian switching. A new method called M-matrix method, very different to the linear matrix inequality (LMI) method, has been proposed to solve the above problem. Meanwhile, some sufficient conditions for the exponential stability of the error system are derived. The feedback gain update laws are given by the adaptive control technique. Finally, two simulation examples are provided to demonstrate the effectiveness and applicability of the proposed design method. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：359 / 371
页数：13
相关论文
共 50 条
  • [21] Asymptotical synchronization for delayed stochastic neural networks with uncertainty via adaptive control
    Dongbing Tong
    Liping Zhang
    Wuneng Zhou
    Jun Zhou
    Yuhua Xu
    International Journal of Control, Automation and Systems, 2016, 14 : 706 - 712
  • [22] Adaptive Control for Exponential Synchronization of Delayed Memristive Neural Networks
    Zhang, Ruimei
    Zhong, Shouming
    Zeng, Deqiang
    2018 5TH INTERNATIONAL CONFERENCE ON SYSTEMS AND INFORMATICS (ICSAI), 2018, : 1 - 5
  • [23] Exponential synchronization of stochastic chaotic neural networks with mixed time delays and Markovian switching
    Cheng-De Zheng
    Huaguang Zhang
    Zhanshan Wang
    Neural Computing and Applications, 2014, 25 : 429 - 442
  • [24] Exponential synchronization of stochastic chaotic neural networks with mixed time delays and Markovian switching
    Zheng, Cheng-De
    Zhang, Huaguang
    Wang, Zhanshan
    NEURAL COMPUTING & APPLICATIONS, 2014, 25 (02): : 429 - 442
  • [25] Mean Square Exponential Stability of Stochastic Delayed Static Neural Networks with Markovian Switching
    Huang, He
    ADVANCES IN NEURAL NETWORKS - ISNN 2015, 2015, 9377 : 138 - 145
  • [26] Stabilization of stochastic delayed neural networks with Markovian switching
    Sun, Yonghui
    Cao, Jinde
    ASIAN JOURNAL OF CONTROL, 2008, 10 (03) : 327 - 340
  • [27] Exponential synchronization of general chaotic delayed neural networks via hybrid feedback
    Liu, Mei-qin
    Zhang, Jian-hai
    JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A, 2008, 9 (02): : 262 - 270
  • [28] Exponential synchronization of general chaotic delayed neural networks via hybrid feedback
    Mei-qin Liu
    Jian-hai Zhang
    Journal of Zhejiang University SCIENCE A, 2008, 9 : 262 - 270
  • [29] Exponential stochastic synchronization of coupled neural networks with adaptive intermittent control
    Sun, Haiyi
    Li, Ning
    Chen, Zhongtang
    Miao, Shuxian
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 995 - 1000
  • [30] Exponential Stability of Uncertain Stochastic Neural Networks with Markovian Switching
    Song Zhu
    Yi Shen
    Lei Liu
    Neural Processing Letters, 2010, 32 : 293 - 309
12345