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
  • [31] Finite-Time Stability of Delayed Memristor-Based Fractional-Order Neural Networks
    Chen, Chongyang
    Zhu, Song
    Wei, Yongchang
    Chen, Chongyang
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (04) : 1607 - 1616
  • [32] Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays
    Xu, Chang-Jin
    Li, Pei-Luan
    Pang, Yi-Cheng
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (02) : 137 - 142
  • [33] 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
  • [34] Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays
    徐昌进
    李培峦
    庞一成
    Communications in Theoretical Physics, 2017, 67 (02) : 137 - 142
  • [35] Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays
    Xiaoshuai Ding
    Jinde Cao
    Xuan Zhao
    Fuad E. Alsaadi
    Neural Processing Letters, 2017, 46 : 561 - 580
  • [36] Finite-Time Stability for Caputo–Katugampola Fractional-Order Time-Delayed Neural Networks
    Assaad Jmal
    Abdellatif Ben Makhlouf
    A. M. Nagy
    Omar Naifar
    Neural Processing Letters, 2019, 50 : 607 - 621
  • [37] Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays
    Ding, Xiaoshuai
    Cao, Jinde
    Zhao, Xuan
    Alsaadi, Fuad E.
    NEURAL PROCESSING LETTERS, 2017, 46 (02) : 561 - 580
  • [38] Finite-time stability of linear stochastic fractional-order systems with time delay
    Lassaad Mchiri
    Abdellatif Ben Makhlouf
    Dumitru Baleanu
    Mohamed Rhaima
    Advances in Difference Equations, 2021
  • [39] Finite-time stability of impulsive fractional-order systems with time-delay
    Hei, Xindong
    Wu, Ranchao
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (7-8) : 4285 - 4290
  • [40] Finite-time stability of linear fractional-order time-delay systems
    Naifar, Omar
    Nagy, A. M.
    Ben Makhlouf, Abdellatif
    Kharrat, Mohamed
    Hammami, Mohamed Ali
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (01) : 180 - 187
12345