TY - JOUR
T1 - Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays
AU - Rikhtegar Ghiasi, Amir
AU - Dehghani Aghbolagh, Hassan
AU - Hashemzadeh, Farzad
AU - Baradarannia, Mahdi
N1 - Publisher Copyright:
© 2018, Shiraz University.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - In this paper, the consensus problem of hierarchical multi-agent systems has been addressed. A novel approach is employed to divide the agents into different groups with different number of agents. In each group, agents communicate with each other under a constant delay. However, the groups in the upper layer interact with each other with a time-varying delay. The topologies of the groups are also considered to be different. In order to prove the stability of the system, a Lyapunov–Krasovskii functional is employed, and proper conditions for the consensus of this hierarchical system are provided via LMIs. Finally, the results of this research are validated through simulations.
AB - In this paper, the consensus problem of hierarchical multi-agent systems has been addressed. A novel approach is employed to divide the agents into different groups with different number of agents. In each group, agents communicate with each other under a constant delay. However, the groups in the upper layer interact with each other with a time-varying delay. The topologies of the groups are also considered to be different. In order to prove the stability of the system, a Lyapunov–Krasovskii functional is employed, and proper conditions for the consensus of this hierarchical system are provided via LMIs. Finally, the results of this research are validated through simulations.
KW - Hierarchical multi-agent systems
KW - Lyapunov–Krasovskii
KW - Time delay
UR - http://www.scopus.com/inward/record.url?scp=85054338920&partnerID=8YFLogxK
U2 - 10.1007/s40998-018-0089-x
DO - 10.1007/s40998-018-0089-x
M3 - Article
AN - SCOPUS:85054338920
SN - 2228-6179
VL - 42
SP - 479
EP - 484
JO - Iranian Journal of Science and Technology - Transactions of Electrical Engineering
JF - Iranian Journal of Science and Technology - Transactions of Electrical Engineering
IS - 4
ER -