TY - GEN
T1 - Bipartite consensus of general linear multi-agent systems
AU - Zhang, Hongwei
AU - Chen, Jie
PY - 2014/6
Y1 - 2014/6
N2 - Collective behaviors of multi-agent systems over signed graphs find applications in a variety of scenarios including social networks, predator-prey dynamics, which however have not been adequately addressed as their counterparts with nonnegative graphs. This paper studies bipartite consensus problem of general linear multi-agent systems over signed digraphs. First, we show that for general linear agents, bipartite consensus over signed graphs and ordinary consensus over nonnegative graphs are equivalent. This indicates that prevailing consensus controllers for nonnegative graphs can be adopted to solve bipartite consensus problems. Based on this observation, an existing Riccati equation based cooperative tracking controller is extended to solve the bipartite consensus problem for general linear systems. © 2014 American Automatic Control Council.
AB - Collective behaviors of multi-agent systems over signed graphs find applications in a variety of scenarios including social networks, predator-prey dynamics, which however have not been adequately addressed as their counterparts with nonnegative graphs. This paper studies bipartite consensus problem of general linear multi-agent systems over signed digraphs. First, we show that for general linear agents, bipartite consensus over signed graphs and ordinary consensus over nonnegative graphs are equivalent. This indicates that prevailing consensus controllers for nonnegative graphs can be adopted to solve bipartite consensus problems. Based on this observation, an existing Riccati equation based cooperative tracking controller is extended to solve the bipartite consensus problem for general linear systems. © 2014 American Automatic Control Council.
KW - Cooperative control
KW - Linear systems
KW - Networked control systems
UR - http://www.scopus.com/inward/record.url?scp=84905717132&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84905717132&origin=recordpage
U2 - 10.1109/ACC.2014.6858991
DO - 10.1109/ACC.2014.6858991
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9781479932726
SP - 808
EP - 812
BT - Proceedings of the American Control Conference
PB - IEEE
T2 - 2014 American Control Conference (ACC 2014)
Y2 - 4 June 2014 through 6 June 2014
ER -
