Approximate Synchronization of Multi-Agent Systems over Finite Fields

被引：0

作者：

YU Miao ^{[1
]}

FENG Jun-e ^{[1
,2
]}

XIA Jianwei ^{[1
]}

FU Shihua ^{[1
]}

SHEN Hao ^{[3
]}

机构：

[1] School of Mathematical Sciences, Liaocheng University

[2] School of Mathematics,Shandong University

[3] School of Electrical and Information Engineering, Anhui University of Technology

来源：

Journal of Systems Science & Complexity | 2024年 / 37卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

In this paper, the approximate synchronization of leader-follower multiagent systems(MASs) over finite fields is studied in regard to local and global synchronization. First, the approximately synchronous state set(ASSS) is obtained. Second, combined with ASSS and transient periods, some criteria for the local and global approximate synchronization of systems are given. Moreover, the algorithms for calculating the maximum approximately synchronous basin(MASB) and the maximum control invariant set(MCIS) are presented. Third, the global approximate synchronization of the system is achieved by designing the state feedback control, and a design algorithm of the controller using the truth matrix method is proposed. Moreover, the results of approximate synchronization are degenerated to complete synchronization. Last, two examples are shown to demonstrate the results of this paper.

引用

页码：1561 / 1580

页数：20

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