Synchronization for memristive chaotic neural networks using Wirtinger-based multiple integral inequality

被引：1
|
作者：
Zheng, Cheng-De [1 ]
Zhang, Yue [1 ]
Wang, Zhanshan [2 ]
机构：
[1] Dalian Jiaotong Univ, Sch Sci, Dalian, Peoples R China
[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2018年 / 9卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Memristive neural networks; Synchronization; Wirtinger-based integral inequality; Reciprocally convex combination; Free-matrix-based inequality; TIME-VARYING DELAYS; TO-STATE STABILITY; EXPONENTIAL SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; IMPULSIVE CONTROL; MIXED DELAYS; SYSTEMS; CRITERIA;
D O I：
10.1007/s13042-016-0626-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the synchronization problem for a class of memristive chaotic neural networks with time-varying delays. Based on te Wirtinger-based double integral inequality, two novel inequalities are proposed, which are multiple integral forms of the Wirtinger-based integral inequality. Next, by applying the reciprocally convex combination approach for high order case and a free-matrix-based inequality, novel delay-dependent conditions are established to achieve the synchronization for the memristive chaotic neural networks. The results are based on dividing the bounding of activation function into two subintervals with equal length. Finally, a numerical example is provided to demonstrate the effectiveness of the theoretical results.
引用
收藏
页码：1069 / 1083
页数：15
相关论文
共 50 条
  • [31] Exponential adaptive synchronization of stochastic memristive chaotic recurrent neural networks with time-varying delays
    Li, Xiaofan
    Fang, Jian-an
    Li, Huiyuan
    NEUROCOMPUTING, 2017, 267 : 396 - 405
  • [32] T-S fuzzy controller design for Rotary Inverted Pendulum with input delay using Wirtinger-based integral inequality
    Kim, Y. J.
    Lee, Y. G.
    Lee, S. H.
    Kwon, O. M.
    2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022), 2022, : 890 - 895
  • [33] Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (12): : 5386 - 5398
  • [34] Exponential synchronization of memristive neural networks with time delays
    Wu, Hongjuan
    Feng, Yuming
    Tu, Zhengwen
    Zhong, Jing
    Zeng, Qingsong
    NEUROCOMPUTING, 2018, 297 : 1 - 7
  • [35] Asymptotic stability and quantitative synchronization of fractional competitive neural networks with multiple restrictions
    Gao, Panqing
    Ye, Renyu
    Zhang, Hai
    Stamova, Ivanka
    Cao, Jinde
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 217 : 338 - 353
  • [36] Robust stability for delayed port-Hamiltonian systems using improved Wirtinger-based inequality
    Aoues, Said
    Lombardi, Warody
    Eberard, Damien
    Seuret, Alexandre
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 3119 - 3124
  • [37] Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays
    Li, Xiaodi
    Rakkiyappan, R.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (06) : 1515 - 1523
  • [38] Synchronization approach for chaotic time-varying delay system based on Wirtinger inequality
    Zhao, Zhanshan
    He, Meili
    Zhang, Jing
    Xu, Guowei
    ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (01) : 1 - 9
  • [39] Dual-stage impulsive control for synchronization of memristive chaotic neural networks with discrete and continuously distributed delays
    Wang, Xin
    Li, Chuandong
    Huang, Tingwen
    Chen, Ling
    NEUROCOMPUTING, 2015, 149 : 621 - 628
  • [40] Exponential synchronization of chaotic neural networks: a matrix measure approach
    He, Wangli
    Cao, Jinde
    NONLINEAR DYNAMICS, 2009, 55 (1-2) : 55 - 65
12345