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“Kronecker Basis” Based Average Consensus Analyses for High‐Order Linear Multi‐Agent Systems with Multiple Time Delays
Author(s) -
Zhu Huangyong,
Cong Yirui,
Wang Xiangke,
Zhang Daibing,
Zhang Qingjie
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1001
Subject(s) - integrator , consensus , order (exchange) , uniform consensus , basis (linear algebra) , multi agent system , kronecker delta , mathematics , computer science , topology (electrical circuits) , mathematical optimization , artificial intelligence , combinatorics , computer network , physics , geometry , bandwidth (computing) , finance , quantum mechanics , economics
This paper investigates the average consensus for multi‐agent systems governed by high‐order linear dynamics with multiple time delays. Necessary and sufficient conditions for high‐order average consensus under balanced communication topology are provided by using a newly defined mathematical concept – the Kronecker basis. Furthermore, previous studies for average consensus governed by first‐order, or high‐order integrator can be regarded as special cases of our results. Simulation results are employed to demonstrate the effectiveness of our results for high‐order average consensus.