State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay

Zhaoxia Duan; Guisheng Zhai; Zhengrong Xiang

doi:10.1016/j.jfranklin.2014.12.013

State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay

Zhaoxia Duan, Guisheng Zhai, Zhengrong Xiang

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

13 Citations (Scopus)

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	https://doi.org/10.1016/j.jfranklin.2014.12.013
Publication status	Published - 2015 Mar 1

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2014.12.013

Cite this

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title = "State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay",

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.",

author = "Zhaoxia Duan and Guisheng Zhai and Zhengrong Xiang",

note = "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: {\textcopyright} 2015 The Franklin Institute.",

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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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State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay

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