Approximate Synchronization of Multi-Agent Systems over Finite Fields  

作　　者：YU Miao FENG Jun-e XIA Jianwei FU Shihua SHEN Hao 

机构地区：[1]School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China [2]School of Mathematics,Shandong University,Jinan 250100,China [3]School of Electrical and Information Engineering,Anhui University of Technology,Maanshan 243002,China

出　　处：《Journal of Systems Science & Complexity》2024年第4期1561-1580,共20页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.62373178,62273201,and 62103176;the Research Fundfor the Taishan Scholar Project of Shandong Province of China under Grant Nos.tstp20221103 and tstp20221103。

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.

关 键 词：Approximate synchronization finite field multiagent system semi-tensor product state feedback control 

分 类 号：O231[理学—运筹学与控制论]