Controllability of game-based multi-agent system  

作　　者：Junhao GUO Zhijian JI Yungang LIU 

机构地区：[1]Institute of Complexity Science,College of Automation,Qingdao University,Qingdao 266071,China [2]School of Control Science and Engineering,Shandong University,Jinan 250061,China

出　　处：《Science China(Information Sciences)》2023年第12期103-116,共14页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.62373205,62033007);Taishan Scholars Project of Shandong Province of China (Grant Nos.tstp20230624,ts20190930);Taishan Scholars Climbing Program of Shandong Province of China。

摘　　要：We introduce a strategy matrix,a novel concept for ensuring controllability in game-based control systems(GBCSs).This graph-based condition is presented as an alternative to utilizing complex mathematical calculations through algebraic conditions.Moreover,to address these issues,one must first study the expression of Nash equilibrium actions.This expression yields a general formula of the game controllability matrix,which is always affected by the specific matrix(strategy matrix)comprising Nash equilibrium actions,and the matrix can not only be obtained by matrix calculation but can also be directly written through the topology,indicating the topology's specific influence on the GBCS.Finally,we build a new game-based multi-agent system and determine the controllability relationship between the system and the general system.

关 键 词：CONTROLLABILITY game-based control system topological structure equivalent partition 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]