Global Mittag-Leffler stability analysis of fractional-order impulsive neural networks with one-side Lipschitz condition

被引：35
|
作者：
Zhang, Xinxin [1 ]
Niu, Peifeng [1 ]
Ma, Yunpeng [1 ]
Wei, Yanqiao [1 ]
Li, Guoqiang [1 ]
机构：
[1] Yanshan Univ, Sch Elect Engn, Qinhuangdao 066001, Peoples R China
来源：
NEURAL NETWORKS | 2017年 / 94卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order neural networks; Mittag-Leffler stability; Impulses; One-side Lipschitz condition; SYNCHRONIZATION; CHAOS; BIFURCATION; DELAYS;
D O I：
10.1016/j.neunet.2017.06.010
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper is concerned with the stability analysis issue of fractional-order impulsive neural networks. Under the one-side Lipschitz condition or the linear growth condition of activation function, the existence of solution is analyzed respectively. In addition, the existence, uniqueness and global Mittag-Leffler stability of equilibrium point of the fractional-order impulsive neural networks with one-side Lipschitz condition are investigated by the means of contraction mapping principle and Lyapunov direct method. Finally, an example with numerical simulation is given to illustrate the validity and feasibility of the proposed results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：67 / 75
页数：9
相关论文
共 50 条
  • [31] Mittag-Leffler Stability of Homogeneous Fractional-Order Systems With Delay
    Lien, Nguyen Thi
    Hien, Le Van
    Thang, Nguyen Nhu
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 3243 - 3248
  • [32] Global Mittag-Leffler Boundedness for Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks
    Wan, Peng
    Jian, Jigui
    NEURAL PROCESSING LETTERS, 2019, 49 (01) : 121 - 139
  • [33] Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field
    Pratap, Anbalagan
    Raja, Ramachandran
    Alzabut, Jehad
    Cao, Jinde
    Rajchakit, Grienggrai
    Huang, Chuangxia
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (10) : 6223 - 6253
  • [34] Mittag-Leffler stability and asymptotic ω-periodicity of fractional-order inertial neural networks with time-delays
    Ke, Liang
    NEUROCOMPUTING, 2021, 465 : 53 - 62
  • [35] Mittag-Leffler synchronization and stability analysis for neural networks in the fractional-order multi-dimension field
    Xiao, Jianying
    Li, Yongtao
    Wen, Shiping
    KNOWLEDGE-BASED SYSTEMS, 2021, 231 (231)
  • [36] Global Mittag-Leffler projective synchronization for fractional-order neural networks: an LMI-based approach
    Wu, Huaiqin
    Wang, Lifei
    Wang, Yu
    Niu, Peifeng
    Fang, Bolin
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [37] MITTAG-LEFFLER STABILITY OF IMPULSIVE DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
    Stamova, Ivanka M.
    QUARTERLY OF APPLIED MATHEMATICS, 2015, 73 (03) : 525 - 535
  • [38] Global Mittag-Leffler stabilization of fractional-order complex-valued memristive neural networks
    Chang, Wenting
    Zhu, Song
    Li, Jinyu
    Sun, Kaili
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 346 - 362
  • [39] Extended analysis on the global Mittag-Leffler synchronization problem for fractional-order octonion-valued BAM neural networks
    Xiao, Jianying
    Guo, Xiao
    Li, Yongtao
    Wen, Shiping
    Shi, Kaibo
    Tang, Yiqian
    NEURAL NETWORKS, 2022, 154 : 491 - 507
  • [40] Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses
    Yang, Xujun
    Li, Chuandong
    Huang, Tingwen
    Song, Qiankun
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 416 - 422
12345