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
  • [1] Almost Periodicity in Impulsive Fractional-Order Reaction-Diffusion Neural Networks With Time-Varying Delays
    Cao, Jinde
    Stamov, Gani
    Stamova, Ivanka
    Simeonov, Stanislav
    IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (01) : 151 - 161
  • [2] Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
    Zhang, Yutian
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [3] Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms
    Qiu, Jianlong
    NEUROCOMPUTING, 2007, 70 (4-6) : 1102 - 1108
  • [4] Stability analysis of Riemann-Liouville fractional-order neural networks with reaction-diffusion terms and mixed time-varying delays
    Wu, Xiang
    Liu, Shutang
    Wang, Yin
    NEUROCOMPUTING, 2021, 431 : 169 - 178
  • [5] Quantized pinning bipartite synchronization of fractional-order coupled reaction-diffusion neural networks with time-varying delays
    Wu, Kai
    Tang, Ming
    Ren, Han
    Zhao, Liang
    CHAOS SOLITONS & FRACTALS, 2023, 174
  • [6] Reaction-Diffusion Impulsive Fractional-Order Bidirectional Neural Networks with Distributed Delays: Mittag-Leffler Stability Along Manifolds
    Stamov, Gani
    Stamova, Ivanka
    Spirova, Cvetelina
    PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19), 2019, 2172
  • [7] Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
    Qiankun Song
    Jinde Cao
    Advances in Difference Equations, 2007
  • [8] Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms
    Song, Qiankun
    Cao, Jinde
    ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [9] Pinning Impulsive Synchronization of Reaction-Diffusion Neural Networks With Time-Varying Delays
    Liu, Xinzhi
    Zhang, Kexue
    Xie, Wei-Chau
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (05) : 1055 - 1067
  • [10] Synchronization Control of Fractional-Order Neural Networks with Time-Varying Delays
    Yin, Ting
    Chen, Boshan
    Zhong, Jie
    2017 NINTH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTATIONAL INTELLIGENCE (ICACI), 2017, : 79 - 83
12345