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具有拓扑切换特性的离散型不确定时空网络的指数同步

韩昌辉 葛连珺 高丽宇 吕翎

韩昌辉, 葛连珺, 高丽宇, 吕翎. 具有拓扑切换特性的离散型不确定时空网络的指数同步.自动化学报, 2021, 47(3): 706-714 doi: 10.16383/j.aas.c180575
引用本文: 韩昌辉, 葛连珺, 高丽宇, 吕翎. 具有拓扑切换特性的离散型不确定时空网络的指数同步.自动化学报, 2021, 47(3): 706-714 doi: 10.16383/j.aas.c180575
Han Chang-Hui, Ge Lian-Jun, Gao Li-Yu, Lv Ling. Exponential synchronization of discrete uncertain spatiotemporal networks with topology switching characteristics. Acta Automatica Sinica, 2021, 47(3): 706-714 doi: 10.16383/j.aas.c180575
Citation: Han Chang-Hui, Ge Lian-Jun, Gao Li-Yu, Lv Ling. Exponential synchronization of discrete uncertain spatiotemporal networks with topology switching characteristics. Acta Automatica Sinica, 2021, 47(3): 706-714 doi: 10.16383/j.aas.c180575

具有拓扑切换特性的离散型不确定时空网络的指数同步

doi: 10.16383/j.aas.c180575
基金项目: 

国家自然科学基金 11747318

详细信息
    作者简介:

    韩昌辉  辽宁师范大学物理与电子技术学院硕士研究生. 2016年获得辽宁师范大学学士学位. 主要研究方向为复杂网络的变结构控制与网络同步. E-mail: lnnuhch@163.com

    葛连珺  辽宁师范大学物理与电子技术学院硕士研究生. 2016年获得渤海大学学士学位. 主要研究方向为复杂网络的开环闭环控制与同步. E-mail: 18742068500@163.com

    高丽宇  辽宁师范大学物理与电子技术学院硕士研究生. 2016年获得鞍山师范学院学士学位. 主要研究方向为复杂网络的滑模控制与网络同步. E-mail: 18742050326@163.com

    通讯作者:

    吕翎  辽宁师范大学物理与电子技术学院教授. 主要研究方向为复杂网络的同步控制与参数估计. 本文通信作者. E-mail: luling1960@aliyun.com

Exponential Synchronization of Discrete Uncertain Spatiotemporal Networks With Topology Switching Characteristics

Funds: 

National Natural Science Foundation of China 11747318

More Information
    Author Bio:

    HAN Chang-Hui  Master student at the School of Physics and Electronic Technology, Liaoning Normal University. He received his bachelor degree from Liaoning Normal University in 2016. His research interest covers variable structure control of complex network and network synchronization

    GE Lian-Jun  Master student at the School of Physics and Electronic Technology, Liaoning Normal University. She received her bachelor degree from Bohai University in 2016. Her research interest covers open-plus-closed-loop control and synchronization in complex network

    GAO Li-Yu  Master student at the School of Physics and Electronic Technology, Liaoning Normal University. She received her bachelor degree from Anshan Normal College in 2016. Her research interest covers sliding mode control of complex network and network synchronization

    Corresponding author: LV Ling  Professor at the School of Physics and Electronic Technology, Liaoning Normal University. Her research interest covers synchronization control and parameter estimation in complex network. Corresponding author of this paper
  • 摘要: 研究了具有拓扑切换特性的离散型不确定时空网络的指数同步问题. 基于稳定性理论, 构造了具有指数形式的Lyapunov函数, 并设计了同步控制器的结构方程, 进而获得了时空网络的同步条件. 同时, 我们设计了未知参数的识别律, 有效地识别了网络中的未知参数. 最后, 选取实际的激光相位共轭波空间扩展系统作为网络节点进行仿真模拟, 验证了同步方案的可行性与控制器的有效性. 通过构造具有指数形式的Lyapunov函数, 能够有效地调节网络的同步速率. 并且获得的同步条件中不包含网络的耦合矩阵项, 消除了拓扑切换特性对同步过程的影响, 使得网络同步性能更加稳定.
    Recommended by Associate Editor ZHANG Wei-Dong
    1)  本文责任编委 张卫东
  • 图  1  状态变量$x(m, n)$的时空演化

    Fig.  1  Spatiotemporal evolution of state variable $x(m, n)$

    图  2  拓扑切换信号$s(n)$

    Fig.  2  The topology switching signal $s(n)$

    图  3  4种切换拓扑结构图

    Fig.  3  Four switching topologies

    图  4  误差$e_1(m, n)$随时空的演化

    Fig.  4  Spatiotemporal evolution of error $e_1(m, n)$

    图  5  误差$e_2(m, n)$随时空的演化

    Fig.  5  Spatiotemporal evolution of error $e_2(m, n)$

    图  6  误差$e_3\, (m, n)$随时空的演化

    Fig.  6  Spatiotemporal evolution of error $e_3\, (m, n)$

    图  7  误差$e_4(m, n)$随时空的演化

    Fig.  7  Spatiotemporal evolution of error $e_4(m, n)$

    图  8  误差$e_5(m, n)$随时空的演化

    Fig.  8  Spatiotemporal evolution of error $e_5(m, n)$

    图  9  误差$e_6(m, n)$随时空的演化

    Fig.  9  Spatiotemporal evolution of error $e_6(m, n)$

    图  10  误差$e_7(m, n)$随时空的演化

    Fig.  10  Spatiotemporal evolution of error $e_7(m, n)$

    图  11  未知参数$\varepsilon_1(m, n)$随时空的演化

    Fig.  11  Spatiotemporal evolution of unknown parameter $\varepsilon_1(m, n)$

    图  12  未知参数$\varepsilon_2(m, n)$随时空的演化

    Fig.  12  Spatiotemporal evolution of unknown parameter $\varepsilon_2(m, n)$

    图  13  未知参数$\varepsilon_3\, (m, n)$随时空的演化

    Fig.  13  Spatiotemporal evolution of unknown parameter $\varepsilon_3\, (m, n)$

    图  14  未知参数$\varepsilon_4(m, n)$随时空的演化

    Fig.  14  Spatiotemporal evolution of unknown parameter $\varepsilon_4(m, n)$

    图  15  未知参数$\varepsilon_5(m, n)$随时空的演化

    Fig.  15  Spatiotemporal evolution of unknown parameter $\varepsilon_5(m, n)$

    图  16  未知参数$\varepsilon_6(m, n)$随时空的演化

    Fig.  16  Spatiotemporal evolution of unknown parameter $\varepsilon_6(m, n)$

    图  17  未知参数$\varepsilon_7(m, n)$随时空的演化

    Fig.  17  Spatiotemporal evolution of unknown parameter $\varepsilon_7(m, n)$

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出版历程
  • 收稿日期:  2018-08-28
  • 录用日期:  2019-02-15
  • 刊出日期:  2021-04-02

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