On the Stability with Respect to Manifolds of Reaction-Diffusion Impulsive Control Fractional-order Neural Networks with Time-varying Delays

被引：1
|
作者：
Stamov, Gani [1 ,2 ]
Stamov, Trayan [3 ]
Stamova, Ivanka [2 ]
机构：
[1] Tech Univ Sofia, Dept Math, Sliven 8800, Bulgaria
[2] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
[3] Tech Univ Sofia, Dept Machine Elements & NonmetConstruct, Sofia 1000, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20) | 2021年 / 2333卷
关键词：
EXPONENTIAL STABILITY; SYNCHRONIZATION; EQUATIONS;
D O I：
10.1063/5.0041946
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates the stability with respect to manifolds of general type of fractional-order reaction-diffusion neural networks with time-varying delays under impulsive control. First, the impulsive control fractional reaction-diffusion neuralnetwork model is designed and the manifold technique is adapted to it. Then, the Lyapunov function method is applied to derive new stability sufficient conditions.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    王林山
    徐道义
    ScienceinChina(SeriesF:InformationSciences), 2003, (06) : 466 - 474
  • [32] Exponential stability of reaction-diffusion fuzzy recurrent neural networks with time-varying delays
    Zhou, Qinghua
    Wan, Li
    Sun, Jianhua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (09): : 3099 - 3108
  • [33] Stability and Synchronization of Nonautonomous Reaction-Diffusion Neural Networks With General Time-Varying Delays
    Zhang, Hao
    Zeng, Zhigang
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (10) : 5804 - 5817
  • [34] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    Linshan Wang
    Daoyi Xu
    Science in China Series F: Information Sciences, 2003, 46 : 466 - 474
  • [35] Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
    Liang, JL
    Cao, JD
    PHYSICS LETTERS A, 2003, 314 (5-6) : 434 - 442
  • [36] The Passivity of Uncertain Fractional-Order Neural Networks with Time-Varying Delays
    Xu, Song
    Liu, Heng
    Han, Zhimin
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [37] Multistability of Fractional-Order Neural Networks With Unbounded Time-Varying Delays
    Zhang, Fanghai
    Zeng, Zhigang
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (01) : 177 - 187
  • [38] Stability and synchronization of fractional-order generalized reaction-diffusion neural networks with multiple time delays and parameter mismatch
    Gu, Yajuan
    Wang, Hu
    Yu, Yongguang
    NEURAL COMPUTING & APPLICATIONS, 2022, 34 (20): : 17905 - 17920
  • [39] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    Wang, LS
    Xu, DY
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2003, 46 (06): : 466 - 474
  • [40] On boundedness and stability for nonautonomous reaction-diffusion recurrent neural networks with time-varying delays
    Xuyang Lou
    Baotong Cui
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 6 - 10
12345