广东工业大学学报 ›› 2023, Vol. 40 ›› Issue (04): 94-101.doi: 10.12052/gdutxb.220114

• 综合研究 • 上一篇    下一篇

具有不同节点的复杂动态网络有限时间部分状态分量同步控制

吴曼, 张丽丽   

  1. 广东工业大学 数学与统计学院, 广东 广州 510520
  • 收稿日期:2022-07-05 出版日期:2023-07-25 发布日期:2023-08-02
  • 通信作者: 张丽丽(1978–)， 女，副教授，硕士生导师，主要研究方向为复杂网络与复杂系统的控制, E-mail: zh_lili@gdut.edu.cn
  • 作者简介:吴曼(1998–)， 女，硕士研究生，主要研究方向为复杂动态网络部分状态分量同步控制
  • 基金资助:
    国家自然科学基金资助项目(61603098) ；广东省基础与应用基础研究基金资助项目(2020A1515010809)

Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes

Wu Man, Zhang Li-li   

  1. School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2022-07-05 Online:2023-07-25 Published:2023-08-02

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摘要： 针对一类由不同节点组成的复杂动态网络，提出了一种分散控制策略以实现有限时间部分状态分量同步(只考虑网络中每个节点的部分状态分量在有限时间内达到同步) 。首先，为了方便理论分析及推导，引入了一个特殊对角矩阵来表述每个节点所需关注的状态分量。其次，基于此特殊对角矩阵，给出了有限时间部分状态分量同步的定义。与有限时间同步相比，有限时间部分状态分量同步更广泛。再次，结合控制理论以及有限时间稳定性定理，提出了分散控制策略使网络实现有限时间部分状态分量同步。最后，通过一个仿真例子，验证了控制方法的有效性与正确性。

关键词: 复杂动态网络, 有限时间部分状态分量同步, 分散控制, 不同节点

Abstract: For a class of complex dynamic networks composed of nonidentical nodes, a decentralized control strategy is proposed to achieve the finite-time partial state components synchronization. The finite-time partial state components synchronization means that only some, not all, state components of each node in the network can achieve synchronization in finite time. Firstly, for the convenience of the theoretical analyses and derivation, a special diagonal matrix is introduced, which can formulate the desired state components of each node. Secondly, based on this special diagonal matrix, the finite-time partial state components synchronization is defined. Compared to the finite-time synchronization, the finite-time partial state components synchronization is more popular. Thirdly, according to both the control theory and the finite-time stability theorem, a decentralized control strategy is proposed, so that our networks can achieve the finite-time partial state components synchronization. Finally, a simulation example is shown to verify the effectiveness and correctness of the proposed control strategy in this paper.

Key words: complex dynamical networks, finite-time partial state components synchronization, decentralized control, nonidentical nodes

中图分类号: 

  • TP273
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