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

Wu Man; Zhang Li-li

doi:10.12052/gdutxb.220114

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

更新时间：2026-05-27

- Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes
- Vol. 40, Issue 4, Pages: 94-101(2023)
- 作者机构：
  
  广东工业大学数学与统计学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.220114
  CLC： TP273
- Online First：25 July 2023，
  
  Published：2023
- 稿件说明：
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吴曼, 张丽丽. 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[J]. 广东工业大学学报, 2023, 40(4): 94-101.

Wu Man, Zhang Li-li. Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes[J]. 2023, 40(4): 94-101.
吴曼, 张丽丽. 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[J]. 广东工业大学学报, 2023, 40(4): 94-101. DOI： 10.12052/gdutxb.220114.

Wu Man, Zhang Li-li. Finite-time Partial State Components Synchronization Control for Complex Dynamical Networks with Nonidentical Nodes[J]. 2023, 40(4): 94-101. DOI： 10.12052/gdutxb.220114.

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。

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.

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Keywords

references

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