Finite-time stability analysis of fractional-order neural networks with delay

被引：141
|
作者：
Yang, Xujun [1 ]
Song, Qiankun [1 ]
Liu, Yurong [2 ,3 ]
Zhao, Zhenjiang [4 ]
机构：
[1] Chongqing Jiaotong Univ, Sch Management, Chongqing 400074, Peoples R China
[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[3] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia
[4] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
来源：
NEUROCOMPUTING | 2015年 / 152卷
基金：
中国国家自然科学基金;
关键词：
Fractional order neural networks; Equilibrium point; Existence; Uniqueness; Finite-time stability; GLOBAL EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; DYNAMICS;
D O I：
10.1016/j.neucom.2014.11.023
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Stability analysis of fractional-order neural networks with delay is addressed in this paper. By using the contracting mapping principle, method of iteration and inequality techniques, a sufficient condition is established to ensure the existence, uniqueness and finite-time stability of the equilibrium point of the proposed networks. Finally, based on the Predictor-Corrector Approach, two numerical examples are presented to illustrate the validity and feasibility of the obtained result. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：19 / 26
页数：8
相关论文
共 50 条
  • [41] Finite-time stability of linear stochastic fractional-order systems with time delay
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    Baleanu, Dumitru
    Rhaima, Mohamed
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [42] Finite-time stability analysis for fractional-order Cohen-Grossberg BAM neural networks with time delays
    Rajivganthi, C.
    Rihan, F. A.
    Lakshmanan, S.
    Muthukumar, P.
    NEURAL COMPUTING & APPLICATIONS, 2018, 29 (12): : 1309 - 1320
  • [43] Finite-time synchronization of fractional-order gene regulatory networks with time delay
    Qiao, Yuanhua
    Yan, Hongyun
    Duan, Lijuan
    Miao, Jun
    NEURAL NETWORKS, 2020, 126 : 1 - 10
  • [44] NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Arfaoui, Hassen
    Rguigui, Hafedh
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (04) : 1011 - 1018
  • [45] Finite-time synchronization of fractional-order fuzzy Cohen-Grossberg neural networks with time delay
    Zhao, F.
    Jian, J.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2022, 19 (05): : 47 - 61
  • [46] Finite-time projective synchronization of memristor-based delay fractional-order neural networks
    Mingwen Zheng
    Lixiang Li
    Haipeng Peng
    Jinghua Xiao
    Yixian Yang
    Hui Zhao
    Nonlinear Dynamics, 2017, 89 : 2641 - 2655
  • [47] Finite-time projective synchronization of memristor-based delay fractional-order neural networks
    Zheng, Mingwen
    Li, Lixiang
    Peng, Haipeng
    Xiao, Jinghua
    Yang, Yixian
    Zhao, Hui
    NONLINEAR DYNAMICS, 2017, 89 (04) : 2641 - 2655
  • [48] Global stability analysis of fractional-order Hopfield neural networks with time delay
    Wang, Hu
    Yu, Yongguang
    Wen, Guoguang
    Zhang, Shuo
    Yu, Junzhi
    NEUROCOMPUTING, 2015, 154 : 15 - 23
  • [49] Stability analysis for fractional-order neural networks with time-varying delay
    Wang, Feng-Xian
    Zhang, Jie
    Shu, Yan-Jun
    Liu, Xin-Ge
    ASIAN JOURNAL OF CONTROL, 2023, 25 (02) : 1488 - 1498
  • [50] Finite-Time Stability Analysis of Fractional Order Delayed Memristive Neural Networks
    Li, Ruoxia
    Cao, Jinde
    Wan, Ying
    2016 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2016, : 2329 - 2335
12345