Controllability of General Linear Discrete Multi-Agent Systems with Directed and Weighted Signed Network

作     者：ZHAO Lanhao JI Zhijian LIU Yungang LIN Chong ZHAO Lanhao;JI Zhijian;LIU Yungang;LIN Chong

作者机构：Institute of Complexity ScienceCollege of AutomationQingdao UniversityQingdao 266071China Shandong Key Laboratory of Industrial Control TechnologyQingdao UniversityQingdao 266071China School of Control Science and EngineeringShandong UniversityJinan 250061China Institute of Complecity ScienceCollege of AutomationQingdao UniversityQingdao 266071China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2022年第35卷第6期

页      面：2107-2130页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：the National Natural Science Foundation of China under Grant Nos.61873136 and 62033007 Taishan Scholars Climbing Program of Shandong Province of China and Taishan Scholars Project of Shandong Province of China under Grant No.ts20190930 

主　　题：Controllability equitable partition multi-agent system signed network time-delays 

摘      要：This paper investigates the controllability of general linear discrete-time multi-agent systems with directed and weighted signed networks by using graphic and algebraic *** nondelay and delay cases are considered *** the case of no time delay,the upper bound condition of the controllable subspace is given by using the equitable partition method,and the influence of coefficient matrix selection of individual dynamics is *** the case of single delay and multiple delays,the equitable partition method is extended to deal with time-delay systems,and some conclusions are *** particular,some simplified algebraic criteria for controllability of systems with time delay are obtained by using augmented system method and traditional algebraic controllability criteria.