Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1235-1249 |
| Number of pages | 15 |
| Journal | Journal of the Franklin Institute |
| Volume | 352 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2015 Mar 1 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Networks and Communications
- Applied Mathematics
- Signal Processing
Cite this
State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay. / Duan, Zhaoxia; Zhai, Guisheng; Xiang, Zhengrong.
In: Journal of the Franklin Institute, Vol. 352, No. 3, 01.03.2015, p. 1235-1249.Research output: Contribution to journal › Article
}
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
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.
UR - http://www.scopus.com/inward/record.url?scp=84923027844&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84923027844&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2014.12.013
DO - 10.1016/j.jfranklin.2014.12.013
M3 - Article
VL - 352
SP - 1235
EP - 1249
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 3
ER -