Asymptotic synchronization of conformable fractional-order neural networks by L' Hopital's rule

被引:2
|
作者
Xiong, Xinsheng [1 ]
Zhang, Zhengqiu [2 ]
机构
[1] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418000, Peoples R China
[2] Hunan Univ, Sch Math, Changsha 410082, Peoples R China
关键词
CFONNS; The established DIS of CFONNS; GAS; Limit algorithms of functions; L' Hopital's rule and limit algorithms; FINITE-TIME SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; EXPONENTIAL STABILITY; CRITERIA; DELAYS;
D O I
10.1016/j.chaos.2023.113665
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper focuses on the globally asymptotic synchronization (GAS) for delayed drive-response (DR) con-formable fractional-order neural networks (CFONNS). Two differential inequalities (DIS) of conformable fractional-order (FO) are established, which play a central role in studying the GAS of DR CFONNS. By applying the new established two DIS of conformable FO and using L' Hopital's rule and limit algorithms of functions, two criteria on the GAS for the discussing networks are obtained. Since the studies on the synchronization for the CFONNS are very rare, the studies for the CFONNS are of important meaning in theory.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Global asymptotic synchronization of nonidentical fractional-order neural networks
    Hu, Taotao
    Zhang, Xiaojun
    Zhong, Shouming
    NEUROCOMPUTING, 2018, 313 : 39 - 46
  • [2] Fractional Order L'Hopital's Rule
    Wei, Yiheng
    Cheng, Songsong
    Chen, Yuquan
    Wang, Yong
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 2780 - 2783
  • [3] α-stability and α-synchronization for fractional-order neural networks
    Yu, Juan
    Hu, Cheng
    Jiang, Haijun
    NEURAL NETWORKS, 2012, 35 : 82 - 87
  • [4] Synchronization and Robust Synchronization for Fractional-Order Coupled Neural Networks
    Wang, Shuxue
    Huang, Yanli
    Ren, Shunyan
    IEEE ACCESS, 2017, 5 : 12439 - 12448
  • [5] A comment on "α-stability and α-synchronization for fractional-order neural networks"
    Li Kexue
    Peng Jigen
    Gao Jinghuai
    NEURAL NETWORKS, 2013, 48 : 207 - 208
  • [6] Synchronization of a Class of Fractional-Order Chaotic Neural Networks
    Chen, Liping
    Qu, Jianfeng
    Chai, Yi
    Wu, Ranchao
    Qi, Guoyuan
    ENTROPY, 2013, 15 (08): : 3265 - 3276
  • [7] Asymptotic Stability of Fractional-Order Incommensurate Neural Networks
    Chen, Liping
    Gu, Panpan
    Lopes, Antonio M.
    Chai, Yi
    Xu, Shuiqing
    Ge, Suoliang
    NEURAL PROCESSING LETTERS, 2023, 55 (05) : 5499 - 5513
  • [8] Asymptotic Stability of Fractional-Order Incommensurate Neural Networks
    Liping Chen
    Panpan Gu
    António M. Lopes
    Yi Chai
    Shuiqing Xu
    Suoliang Ge
    Neural Processing Letters, 2023, 55 : 5499 - 5513
  • [9] Exponential quasi-synchronization of conformable fractional-order complex dynamical networks
    Chu, Xiaoyan
    Xu, Liguang
    Hu, Hongxiao
    CHAOS SOLITONS & FRACTALS, 2020, 140
  • [10] Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects
    Gao, Jin
    Dai, Lihua
    AIMS MATHEMATICS, 2022, 8 (01): : 1975 - 1994