TY - JOUR
T1 - State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay
AU - Duan, Zhaoxia
AU - Zhai, Guisheng
AU - Xiang, Zhengrong
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China under Grant no. 61273120 and by the Japan Ministry of Education, Sciences and Culture under Grant-in-Aid for Scientific Research (C) 21560471 and 25420451 .
Publisher Copyright:
© 2015 The Franklin Institute.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - This paper studies the consensus problem for hierarchical multi-agent dynamical systems with the inter-layer communication time-varying delay. This paper firstly finds a mathematical model for the hierarchical multi-agent dynamical systems with inter-layer communication time-varying delay, and then delay-dependent sufficient conditions are proposed for reaching a consensus based on Lyapunov function approach. A Lyapunov function is introduced to quantify the total disagreement among the nodes of a hierarchical network. All the results are in the form of linear matrix inequalities (LMIs). Simulation results are provided to verify the effectiveness of the proposed condition for agreement in networks with inter-layer communication time-delay.
AB - This paper studies the consensus problem for hierarchical multi-agent dynamical systems with the inter-layer communication time-varying delay. This paper firstly finds a mathematical model for the hierarchical multi-agent dynamical systems with inter-layer communication time-varying delay, and then delay-dependent sufficient conditions are proposed for reaching a consensus based on Lyapunov function approach. A Lyapunov function is introduced to quantify the total disagreement among the nodes of a hierarchical network. All the results are in the form of linear matrix inequalities (LMIs). Simulation results are provided to verify the effectiveness of the proposed condition for agreement in networks with inter-layer communication time-delay.
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U2 - 10.1016/j.jfranklin.2014.12.013
DO - 10.1016/j.jfranklin.2014.12.013
M3 - Article
AN - SCOPUS:84923027844
SN - 0016-0032
VL - 352
SP - 1235
EP - 1249
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 3
ER -