Title :
Necessary and sufficient conditions for consensus of third-order multi-agent systems
Author :
YanFen Cao ; YuanGong Sun
Author_Institution :
Sch. of Math. Sci., Univ. of Jinan, Jinan, China
Abstract :
This paper studies the consensus problem of third-order multi-agent systems for the case of undirected graph. Necessary and sufficient conditions for third-order consensus have been established under three different protocols. Unlike most of existing papers, we here focus on illustrating the relationship between the scaling strengths and the eigenvalues of the involved Laplacian matrix, which guarantees the third-order consensus for three different protocols.
Keywords :
eigenvalues and eigenfunctions; graph theory; large-scale systems; matrix algebra; multi-agent systems; multi-robot systems; Laplacian matrix; Third-Order Multi-Agent Systems; eigenvalues; necessary and sufficient conditions; protocols; scaling strengths; third-order consensus; undirected graph; Artificial neural networks; Eigenvalues and eigenfunctions; Sun; Third-order consensus; connected graph; multi-agent system; undirected graph;
Conference_Titel :
Control, Automation and Systems (ICCAS), 2014 14th International Conference on
Conference_Location :
Seoul
Print_ISBN :
978-8-9932-1506-9
DOI :
10.1109/ICCAS.2014.6987911
