Consensus Seeking and Controlling over Directed Delayed Networks

Jianquan Lu; Daniel Ho

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Consensus Seeking and Controlling over Directed Delayed Networks

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_64,
    author={Jianquan Lu and Daniel Ho},
    title={Consensus Seeking and Controlling over Directed Delayed Networks},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
    proceedings_a={COMPLEX PART 2},
    year={2012},
    month={5},
    keywords={consensus arbitrary communication delay directed network},
    doi={10.1007/978-3-642-02469-6_64}
}

Jianquan Lu
Daniel Ho
Year: 2012
Consensus Seeking and Controlling over Directed Delayed Networks
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_64

Jianquan Lu¹^,*, Daniel Ho¹^,*

1: City University of Hong Kong

*Contact email: jqluma@gmail.com, madaniel@cityu.edu.hk

Abstract

In this paper, we are concerned about the consensus problem for multi-agent systems in the presence of directed information flow and arbitrary communication delays. For each agent, only delayed local information can be used to adjust its value. Information flow between connected agents can be asymmetric. It will be shown that, whatever the communication delays are in principle, consensus will eventually be achieved for strongly connected networks. Furthermore, a local controller is designed for one of the agents (but not for each agent) to control all the agents. Very weak feedback strength is proved to be effective for the control of multi-agent systems. Numerical simulations are also performed to verify our theoretical analysis.

Keywords: consensus arbitrary communication delay directed network

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_64