Multistability of delayed complex-valued recurrent neural networks with discontinuous real-imaginarytype activation functions

被引:0
作者
黄玉娇 [1 ]
胡海根 [1 ]
机构
[1] College of Computer Science and Technology, Zhejiang University of Technology
基金
中国国家自然科学基金;
关键词
complex-valued recurrent neural network; discontinuous real-imaginary-type activation function; multistability; delay;
D O I
暂无
中图分类号
TP183 [人工神经网络与计算];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the multistability issue is discussed for delayed complex-valued recurrent neural networks with discontinuous real-imaginary-type activation functions. Based on a fixed theorem and stability definition, sufficient criteria are established for the existence and stability of multiple equilibria of complex-valued recurrent neural networks. The number of stable equilibria is larger than that of real-valued recurrent neural networks, which can be used to achieve high-capacity associative memories. One numerical example is provided to show the effectiveness and superiority of the presented results.
引用
收藏
页码:275 / 283
页数:9
相关论文
共 50 条
  • [31] Multistability of Cohen-Grossberg neural networks based on activation functions with multiple discontinuous points
    Liu, Yang
    Wang, Zhen
    Huang, Xia
    CHAOS SOLITONS & FRACTALS, 2023, 173
  • [32] Discrete-Time Recurrent Neural Networks With Complex-Valued Linear Threshold Neurons
    Zhou, Wei
    Zurada, Jacek M.
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (08) : 669 - 673
  • [33] Track Control of Complex-valued Recurrent Neural Networks Based on the Hanaly's Inequality
    Bao, Gang
    Lian, Cheng
    2019 9TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST2019), 2019, : 211 - 215
  • [34] Complete stability of delayed recurrent neural networks with Gaussian activation functions
    Liu, Peng
    Zeng, Zhigang
    Wang, Jun
    NEURAL NETWORKS, 2017, 85 : 21 - 32
  • [35] Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
    Cao, Jinde
    Feng, Gang
    Wang, Yanyan
    PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (13) : 1734 - 1749
  • [36] Multistability of state-dependent switching neural networks with discontinuous nonmonotonic piecewise linear activation functions
    Zhang, Jiahui
    Zhu, Song
    Lu, Nannan
    Wen, Shiping
    NEUROCOMPUTING, 2021, 437 (437) : 300 - 311
  • [37] Stochastic Exponential Robust Stability of Delayed Complex-Valued Neural Networks With Markova Jumping Parameters
    Xu, Xiaohui
    Xu, Quan
    Peng, Yiqiang
    Zhang, Jiye
    Xu, Yanhai
    IEEE ACCESS, 2018, 6 : 839 - 849
  • [38] Multistability and Multiperiodicity for a Class of Cohen–Grossberg BAM Neural Networks with Discontinuous Activation Functions and Time Delays
    Yanke Du
    Rui Xu
    Neural Processing Letters, 2015, 42 : 417 - 435
  • [39] Multistability of discrete-time recurrent neural networks with unsaturating piecewise linear activation functions
    Yi, Z
    Tan, KK
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (02): : 329 - 336
  • [40] Multistability of Recurrent Neural Networks With Nonmonotonic Activation Functions and Unbounded Time-Varying Delays
    Liu, Peng
    Zeng, Zhigang
    Wang, Jun
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (07) : 3000 - 3010