广东工业大学学报 ›› 2021, Vol. 38 ›› Issue (03): 55-61.doi: 10.12052/gdutxb.200085

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脉冲控制下一类多权重复杂网络的鲁棒H∞同步

郑子钊1, 彭世国1, 付志文1, 徐云剑2   

  1. 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
  • 收稿日期:2020-07-06 出版日期:2021-05-10 发布日期:2021-03-12
  • 作者简介:郑子钊(1996-)，男，硕士研究生，主要研究方向为复杂网络同步、鲁棒H∞控制，E-mail：1017015066@qq.com
  • 基金资助:
    国家自然科学基金资助项目(61973092，61374081)；广东省自然科学基金资助项目(2019A1515012104)；广东省普通高校“人工智能”重点领域专项资金资助项目(2019KZDZX1052)

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

Zheng Zi-zhao1, Peng Shi-guo1, Fu Zhi-wen1, Xu Yun-jian2   

  1. 1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China;
    2. School of Intelligent Engineering, Guangdong AIB Polytechnic, Guangzhou 510507, China
  • Received:2020-07-06 Online:2021-05-10 Published:2021-03-12

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摘要： 基于脉冲控制方法, 对一类多权重复杂网络的鲁棒H∞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H∞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H∞同步的充分条件。最后, 数值仿真验证了结论的有效性。

关键词: 脉冲控制, 复杂网络, 多权重, 鲁棒H∞同步

Abstract: Based on the impulsive control method, a robust H∞ 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 H∞ 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 H∞ synchronization is given in the form of linear matrix inequalities (LMIs). Finally, a numerical simulation verifies the validity of the conclusion.

Key words: impulsive control, complex networks, multi-weights, robust H∞ synchronization

中图分类号: 

  • TP273
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