Finite Time Synchronization for Reactive Diffusion Complex Networks via Boundary Control

被引：8
作者：
Luo, Yiping [1 ]
Ling, Zhaoming [1 ]
Yao, Yuejie [1 ]
机构：
[1] Hunan Inst Engn, Xiangtan 411101, Peoples R China
来源：
IEEE ACCESS | 2019年 / 7卷
基金：
中国国家自然科学基金;
关键词：
Finite-time synchronization; complex network; time delay; diffusion term; boundary control; DYNAMICAL NETWORKS; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; COUPLING DELAYS; STABILITY; SYSTEMS; NEURONS; TERMS;
D O I：
10.1109/ACCESS.2019.2916908
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the finite-time synchronization problems of complex spatiotemporal networks with time delays and diffusion terms. First, a boundary controller based on Lyapunov stability theory, Wirtinger's inequality, and finite-time analysis is designed. Subsequently, sufficient conditions for finite-time synchronization are obtained, and the setting time of finite-time synchronization is estimated. Finally, a simulation example is given to demonstrate the effectiveness of the obtained result.
引用
收藏
页码：68628 / 68635
页数：8
相关论文
共 49 条
  • [1] Exponential synchronization for a class of complex networks of networks with directed topology and time delay
    Ahmed, Mohmmed Alsiddig Alamin
    Liu, Yurong
    Zhang, Wenbing
    Alsaedi, Ahmed
    Hayat, Tasawar
    [J]. NEUROCOMPUTING, 2017, 266 : 274 - 283
  • [2] Finite-time robust passive control for a class of switched reaction-diffusion stochastic complex dynamical networks with coupling delays and impulsive control
    Ali, M. Syed
    Yogambigai, J.
    Kwon, O. M.
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (04) : 718 - 735
  • [3] Finite-time robust stochastic synchronization of uncertain Markovian complex dynamical networks with mixed time-varying delays and reaction diffusion terms via impulsive control
    Ali, M. Syed
    Yogambigai, J.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (05): : 2415 - 2436
  • [4] Finite-time stability of continuous autonomous systems
    Bhat, SP
    Bernstein, DS
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) : 751 - 766
  • [5] Fixed-time synchronization of delayed memristor-based recurrent neural networks
    Cao, Jinde
    Li, Ruoxia
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (03)
  • [6] Exponential H a filtering analysis for discrete-time switched neural networks with random delays using sojourn probabilities
    Cao JinDe
    Rakkiyappan, R.
    Maheswari, K.
    Chandrasekar, A.
    [J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2016, 59 (03) : 387 - 402
  • [7] H∞ synchronization for complex dynamical networks with coupling delays using distributed impulsive control
    Chen, Wu-Hua
    Jiang, Zhiyong
    Lu, Xiaomei
    Luo, Shixian
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 17 : 111 - 127
  • [8] Chengdong Y., 2018, NEURAL PROCESS LETT
  • [9] Event-Based Boundary Control of a Linear 2 x 2 Hyperbolic System via Backstepping Approach
    Espitia, Nicolas
    Girard, Antoine
    Marchand, Nicolas
    Prieur, Christophe
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2686 - 2693
  • [10] Phase synchronization of coupled bursting neurons and the generalized Kuramoto model
    Ferrari, F. A. S.
    Viana, R. L.
    Lopes, S. R.
    Stoop, R.
    [J]. NEURAL NETWORKS, 2015, 66 : 107 - 118
12345