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
  • [21] Finite-time stability of fractional-order quaternion-valued memristive neural networks with time delay
    Wang, Jingjing
    Xu, Hongbing
    Zhu, Song
    NEUROCOMPUTING, 2024, 607
  • [22] New Result on Finite-Time Stability for Caputo–Katugampola Fractional-Order Neural Networks with Time Delay
    Shuihong Xiao
    Jianli Li
    Neural Processing Letters, 2023, 55 : 7951 - 7966
  • [23] Finite-time synchronization of fractional-order memristor-based neural networks with time delays
    Velmurugan, G.
    Rakkiyappan, R.
    Cao, Jinde
    NEURAL NETWORKS, 2016, 73 : 36 - 46
  • [24] On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms
    Priya, Bandana
    Thakur, Ganesh Kumar
    Ali, M. Syed
    Stamov, Gani
    Stamova, Ivanka
    Sharma, Pawan Kumar
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [25] New Criteria on Finite-Time Stability of Fractional-Order Hopfield Neural Networks With Time Delays
    Du, Feifei
    Lu, Jun-Guo
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (09) : 3858 - 3866
  • [26] 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
  • [27] New Result on Finite-Time Stability for Caputo-Katugampola Fractional-Order Neural Networks with Time Delay
    Xiao, Shuihong
    Li, Jianli
    NEURAL PROCESSING LETTERS, 2023, 55 (06) : 7951 - 7966
  • [28] Finite-Time Guaranteed Cost Control of Caputo Fractional-Order Neural Networks
    Thuan Mai Viet
    Binh Tran Nguyen
    Huong Dinh Cong
    ASIAN JOURNAL OF CONTROL, 2020, 22 (02) : 696 - 705
  • [29] New approach to finite-time stability for fractional-order BAM neural networks with discrete and distributed delays
    Du, Feifei
    Lu, Jun-Guo
    CHAOS SOLITONS & FRACTALS, 2021, 151 (151)
  • [30] Finite-time stability of fractional-order fuzzy cellular neural networks with time delays
    Du, Feifei
    Lu, Jun-Guo
    FUZZY SETS AND SYSTEMS, 2022, 438 : 107 - 120
12345