Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays

Amir Rikhtegar Ghiasi; Hassan Dehghani Aghbolagh; Farzad Hashemzadeh; Mahdi Baradarannia

doi:10.1007/s40998-018-0089-x

Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays

Amir Rikhtegar Ghiasi, Hassan Dehghani Aghbolagh^*, Farzad Hashemzadeh, Mahdi Baradarannia

^*Corresponding author for this work

University of Tabriz

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	479-484
Number of pages	6
Journal	Iranian Journal of Science and Technology - Transactions of Electrical Engineering
Volume	42
Issue number	4
DOIs	https://doi.org/10.1007/s40998-018-0089-x
Publication status	Published - 1 Dec 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018, Shiraz University.

Keywords

Hierarchical multi-agent systems
Lyapunov–Krasovskii
Time delay

Access to Document

10.1007/s40998-018-0089-x

Cite this

@article{1ae2138e53bf43c884505974259aba0f,

title = "Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays",

abstract = "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.",

keywords = "Hierarchical multi-agent systems, Lyapunov–Krasovskii, Time delay",

author = "\{Rikhtegar Ghiasi\}, Amir and \{Dehghani Aghbolagh\}, Hassan and Farzad Hashemzadeh and Mahdi Baradarannia",

note = "Publisher Copyright: {\textcopyright} 2018, Shiraz University.",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s40998-018-0089-x",

language = "English",

volume = "42",

pages = "479--484",

journal = "Iranian Journal of Science and Technology - Transactions of Electrical Engineering",

issn = "2228-6179",

publisher = "Springer Nature",

number = "4",

}

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

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 - https://www.scopus.com/pages/publications/85054338920

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 -

Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this