Asymptotical Stability of Riemann-Liouville Fractional-Order Neutral-Type Delayed Projective Neural Networks

被引:18
|
作者
Li, Jin-dong [1 ,2 ]
Wu, Zeng-bao [3 ]
Huang, Nan-jing [2 ]
机构
[1] Chengdu Univ Technol, Coll Management Sci, Chengdu 610059, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Luoyang Normal Univ, Dept Math, Luoyang 471934, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractional-order projective neural network; LMI technique; Neutral-type delayed projective neural network; Equilibrium point; Asymptotical stability; PERIODIC-SOLUTION; SINGULAR SYSTEMS; EXISTENCE;
D O I
10.1007/s11063-019-10050-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new class of Riemann-Liouville fractional-order neutral-type delayed projective neural networks are introduced and studied. By utilizing the linear matrix inequality technique, some sufficient conditions to ensure the asymptotical stability of the equilibrium point of the addressed projective neural networks are presented. Finally, some numerical examples are given to illustrate the validity and feasibility of the main results.
引用
收藏
页码:565 / 579
页数:15
相关论文
共 50 条
  • [1] Asymptotical Stability of Riemann–Liouville Fractional-Order Neutral-Type Delayed Projective Neural Networks
    Jin-dong Li
    Zeng-bao Wu
    Nan-jing Huang
    Neural Processing Letters, 2019, 50 : 565 - 579
  • [2] Delay-Independent Stability of Riemann-Liouville Fractional Neutral-Type Delayed Neural Networks
    Zhang, Hai
    Ye, Renyu
    Cao, Jinde
    Alsaedi, Ahmed
    NEURAL PROCESSING LETTERS, 2018, 47 (02) : 427 - 442
  • [3] Asymptotical stability and synchronization of Riemann-Liouville fractional delayed neural networks
    Zhang, Yufeng
    Li, Jing
    Zhu, Shaotao
    Wang, Hongwu
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
  • [4] Asymptotical stability of Riemann-Liouville fractional neutral systems
    Liu, Song
    Wu, Xiang
    Zhang, Yan-Jie
    Yang, Ran
    APPLIED MATHEMATICS LETTERS, 2017, 69 : 168 - 173
  • [5] Delay-Independent Stability of Riemann–Liouville Fractional Neutral-Type Delayed Neural Networks
    Hai Zhang
    Renyu Ye
    Jinde Cao
    Ahmed Alsaedi
    Neural Processing Letters, 2018, 47 : 427 - 442
  • [6] Stability and synchronization for Riemann-Liouville fractional-order time-delayed inertial neural networks
    Gu, Yajuan
    Wang, Hu
    Yu, Yongguang
    NEUROCOMPUTING, 2019, 340 : 270 - 280
  • [7] Asymptotical stability and synchronization of Riemann–Liouville fractional delayed neural networks
    Yufeng Zhang
    Jing Li
    Shaotao Zhu
    Hongwu Wang
    Computational and Applied Mathematics, 2023, 42
  • [8] Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays
    Korkmaz, Erdal
    Ozdemir, Abdulhamit
    Yildirim, Kenan
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [9] Asymptotical stability of fractional neutral-type delayed neural networks with reaction-diffusion terms
    Wu, Xiang
    Liu, Shutang
    Wang, Yin
    Liu, Zhibin
    NEUROCOMPUTING, 2021, 461 : 77 - 85
  • [10] Asymptotical stability of Riemann-Liouville fractional nonlinear systems
    Liu, Song
    Wu, Xiang
    Zhou, Xian-Feng
    Jiang, Wei
    NONLINEAR DYNAMICS, 2016, 86 (01) : 65 - 71