TY - JOUR
T1 - Second-order consensus for multi-agent systems with switching topology and communication delay
AU - Qin, Jiahu
AU - Gao, Huijun
AU - Zheng, Wei Xing
PY - 2011
Y1 - 2011
N2 - In this paper, two kinds of consensus problems for second-order agents under directed and arbitrarily switching topologies are investigated, that is, the cases without and with communication delay. For the former, by constructing a new kind of digraph and employing a new graphic method, we can specify the least convergence rate for all the agents to reach consensus. For the latter, in virtue of a matrix inequality method, a sufficient condition in the form of feasible matrix inequalities is presented for all the agents to reach consensus. This, on the other hand, shows that consensus can be reached if the delay is small enough. Finally, two numerical examples are given to demonstrate the effectiveness and advantages of the proposed results.
AB - In this paper, two kinds of consensus problems for second-order agents under directed and arbitrarily switching topologies are investigated, that is, the cases without and with communication delay. For the former, by constructing a new kind of digraph and employing a new graphic method, we can specify the least convergence rate for all the agents to reach consensus. For the latter, in virtue of a matrix inequality method, a sufficient condition in the form of feasible matrix inequalities is presented for all the agents to reach consensus. This, on the other hand, shows that consensus can be reached if the delay is small enough. Finally, two numerical examples are given to demonstrate the effectiveness and advantages of the proposed results.
UR - http://handle.uws.edu.au:8081/1959.7/553786
U2 - 10.1016/j.sysconle.2011.03.004
DO - 10.1016/j.sysconle.2011.03.004
M3 - Article
SN - 0167-6911
VL - 60
SP - 390
EP - 397
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 6
ER -