Volume 42 Issue 5
May  2021
Turn off MathJax
Article Contents
CHEN Yu, ZHOU Bo, SONG Qiankun. Passivity of Fractional-Order Delayed Complex-Valued Neural Networks With Uncertainties[J]. Applied Mathematics and Mechanics, 2021, 42(5): 492-499. doi: 10.21656/1000-0887.410309
Citation: CHEN Yu, ZHOU Bo, SONG Qiankun. Passivity of Fractional-Order Delayed Complex-Valued Neural Networks With Uncertainties[J]. Applied Mathematics and Mechanics, 2021, 42(5): 492-499. doi: 10.21656/1000-0887.410309

Passivity of Fractional-Order Delayed Complex-Valued Neural Networks With Uncertainties

doi: 10.21656/1000-0887.410309
Funds:  The National Natural Science Foundation of China(61773004)
  • Received Date: 2020-10-15
  • Rev Recd Date: 2020-10-21
  • Publish Date: 2021-05-01
  • The passivity for a class of fractional-order delayed complex-valued neural networks with uncertainties was studied. The complex-valued neural network was not divided into 2 real-valued neural networks, but treated as a whole. Through construction of the appropriate Lyapunov function and application of the inequality technique, the sufficient criterion in the form of the linear matrix inequality was established to ensure the passivity of the considered neural networks. Numerical examples and simulations verify the feasibility and effectiveness of the obtained conclusion.
  • loading
  • [1]
    HOPFIELD J J. Neural networks and physical systems with emergent collective computational abilities[J]. Proceeding of the National Academy of Sciences of the United States of America,1982,79: 2554-2558.
    [2]
    ARIK S. New criteria for stability of neutral-type neural networks with multiple time delays[J]. IEEE Transactions on Neural Networks and Learning Systems,2020,31: 1504-1513.
    [3]
    KWON O M, LEE S M, PARK J H. Improved delay-dependent exponential stability for uncertain stochastic neural networks with time-varying delays[J]. Physics Letters A,2010,374: 1232-1241.
    [4]
    WANG L M, HE H B, ZENG Z G. Global synchronization of fuzzy memristive neural networks with discrete and distributed delays[J]. IEEE Transactions on Fuzzy Systems,2020,28: 2022-2034.
    [5]
    KARIMI H R, GAO H J. New delay-dependent exponential H synchronization for uncertain neural networks with mixed time delays[J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics,2010,40: 173-185.
    [6]
    SAMLI R, YUCEL E. Global robust stability analysis of uncertain neural networks with time varying delays[J]. Neurocomputing,2015,167: 371-377.
    [7]
    SUNTONSINSOUNGVON E, UDPIN S. Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays[J]. Mathematics and Computers in Simulation,2020,171: 233-245.
    [8]
    BALASUBRAMANIAM P, NAGAMANI G. Passivity analysis for uncertain stochastic neural networks with discrete interval and distributed time-varying delays[J]. Journal of Systems Engineering and Electronics,2010,21(4): 688-697.
    [9]
    LI H Y, GAO H J, SHI P. New passivity analysis for neural networks with discrete and distributed delays[J]. IEEE Transactions on Neural Networks,2010,21: 1842-1847.
    [10]
    ZENG Z G, HUANG T W. New passivity analysis of continuous-time recurrent neural networks with multiple discrete delays[J]. Journal of Industrial and Management Optimization,2011,7: 283-289.
    [11]
    SONG Q K, CAO J D. Passivity of uncertain neural networks with both leakage delay and time-varying delay[J]. Nonlinear Dynamics,2012,67: 1695-1707.
    [12]
    CAO Y, SAMIDURAI R, SRIRAMAN R. Robust passivity analysis for uncertain neural networks with leakage delay and additive time-varying delays by using general activation function[J]. Mathematics and Computers in Simulation,2019,155: 57-77.
    [13]
    HU J, WANG J. Global stability of complex-valued recurrent neural networks with time-delays[J]. IEEE Transactions on Neural Networks and Learning Systems,2012,23: 853-865.
    [14]
    LI L L, SHI X H, LIANG J L. Synchronization of impulsive coupled complex-valued neural networks with delay: the matrix measure method[J]. Neural Networks,2019,117: 285-294.
    [15]
    LIU X W, LI Z H. Finite time anti-synchronization of complex-valued neural networks with bounded asynchronous time-varying delays[J]. Neurocomputing,2020,387: 129-138.
    [16]
    RAKKIYAPPAN R, SIVARANJANI K, VELMURUGAN G. Passivity and passification of memristor-based complex-valued recurrent neural networks with interval time-varying delays[J]. Neurocomputing,2014,144: 391-407.
    [17]
    VELMURUGAN G, RAKKIYAPPAN R, LAKSHMANAN S. Passivity analysis of memristor-based complex-valued neural networks with time-varying delays[J]. Neural Processing Letters,2015,42: 517-540.
    [18]
    GUO J, MENG Z D, XIANG Z R. Passivity analysis of stochastic memristor-based complex-valued recurrent neural networks with mixed time-varying delays[J]. Neural Processing Letters,2018,47: 1097-1113.
    [19]
    RAKKIYAPPAN R, VELMURUGAN G, CAO J D. Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays[J]. Nonlinear Dynamics,2014,78: 2823-2836.
    [20]
    BAO H B, PARK J H, CAO J D. Synchronization of fractional-order complex-valued neural networks with time delay[J]. Neural Networks,2016,81: 16-28.
    [21]
    HUANG C D, CAO J D, XIAO M, et al. Bifurcations in a delayed fractional complex-valued neural network[J]. Applied Mathematics and Computation,2017,292: 210-227.
    [22]
    HU B X, SONG Q K, ZHAO Z J. Robust state estimation for fractional-order complex-valued delayed neural networks with interval parameter uncertainties: LMI approach[J]. Applied Mathematics and Computation,2020,373: 125033.
    [23]
    KILBAS A, SRIVASTAVA H M, TRUJILLO J J. Theory and Application of Fractional Differential Equations [M]. Elsevier, 2006.
    [24]
    SONG Q K, CAO J D. Passivity of uncertain neural networks with both leakage delay and time-varying delay[J]. Nonlinear Dynamics,2012,67: 1695-1707.
    [25]
    SONG Q K, YU Q Q, ZHAO Z J, et al. Boundedness and global robust stability analysis of delayed complex-valued neural networks with interval parameter uncertainties[J]. Neural Networks,2018,103: 55-62.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (942) PDF downloads(220) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return