Robust <i>H</i><sub>∞</sub> Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control

Zheng Zi-zhao; Peng Shi-guo; Fu Zhi-wen; Xu Yun-jian

doi:10.12052/gdutxb.200085

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Robust H_∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control

更新时间：2026-05-27

- Robust H_∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control
- Vol. 38, Issue 3, Pages: 55-61(2021)
- 作者机构：
  
  1. 广东工业大学自动化学院,广东,广州,510006
  2. 广东农工商职业技术学院智能工程学院,广东,广州,510507
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.200085
  CLC： TP273
- Online First：10 May 2021，
  
  Published：2021
- 稿件说明：
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郑子钊, 彭世国, 付志文, 徐云剑. 脉冲控制下一类多权重复杂网络的鲁棒H_∞同步[J]. 广东工业大学学报, 2021, 38(3): 55-61. DOI: 10.12052/gdutxb.200085.

Zheng Zi-zhao, Peng Shi-guo, Fu Zhi-wen, et al. Robust H_∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control[J]. 2021, 38(3): 55-61. DOI: 10.12052/gdutxb.200085.
郑子钊, 彭世国, 付志文, 徐云剑. 脉冲控制下一类多权重复杂网络的鲁棒H_∞同步[J]. 广东工业大学学报, 2021, 38(3): 55-61. DOI: 10.12052/gdutxb.200085. DOI：

Zheng Zi-zhao, Peng Shi-guo, Fu Zhi-wen, et al. Robust H_∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control[J]. 2021, 38(3): 55-61. DOI: 10.12052/gdutxb.200085. DOI：

摘要

基于脉冲控制方法

对一类多权重复杂网络的鲁棒

∞

同步问题进行了研究

设计了新颖的分布式脉冲控制器。通过在传统的分布式脉冲控制器中添加节点状态变量与同步状态间的误差状态反馈项

以保证多权重复杂网络在受到外部干扰影响时实现鲁棒

∞

同步。基于Lyapunov稳定性理论、数学归纳法和其他相关知识

以线性矩阵不等式(Linear Matrix Inequalities

LMIs)的形式给出了网络实现鲁棒

∞

同步的充分条件。最后

数值仿真验证了结论的有效性。

Abstract

Based on the impulsive control method

a robust

∞

synchronization problem for a class of complex networks with multi-weights is studied

and a novel distributed impulsive controller is designed. By adding the error state feedback item between the node state variable and the synchronous state in the traditional distributed impulsive controller

the robust

∞

synchronization of the complex networks with multi-weights are guaranteed when they were affected by external interference. Based on the stability theory of Lyapunov

mathematical induction and other relevant knowledge

the sufficient conditions for networks to achieve robust

∞

synchronization is given in t

he form of linear matrix inequalities (LMIs). Finally

a numerical simulation verifies the validity of the conclusion.

关键词

Keywords

references

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QIN Z, WANG J, HUANG Y, et al . Synchronization and H ∞ synchronization of multi-weighted complex delayed dynamical networks with fixed and switching topologies [J ] . Journal of The Franklin Institute-engineering and Applied Mathematics, 2017, 354(15): 7119-7138.

PENG H, WEI N, LI L, et al . Models and synchronization of time-delayed complex dynamical networks with multi-links based on adaptive control [J ] . Physics Letters A, 2010, 374(23): 2335-2339.

WANG J, QIN Z, WU H, et al . Finite-time synchronization and H ∞ synchronization of multiweighted complex networks with adaptive state couplings [J ] . IEEE Transactions on Cybernetics, 2020, 50(2): 600-612.

WANG J, QIN Z, WU H, et al . Analysis and pinning control for output synchronization and H ∞ output synchronization of multiweighted complex networks [J ] . IEEE Transactions on Cybernetics, 2018, 49(4): 1-13.

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BOYD S, El GHAOUI L, FERON E, et al . Linear matrix inequalities in system and control theory[M ] . Philadelphia: Society for Industrial Applied Mathematics, 1994: 28-29.

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Robust H∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control

DOI：10.12052/gdutxb.200085

摘要

Abstract

关键词

Keywords

references

Robust H_∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control