Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Average Consensus in Delayed Networks of Dynamic Agents with Impulsive Effects

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_112,
        author={Quanjun Wu and Lan Xiang and Jin Zhou},
        title={Average Consensus in Delayed Networks of Dynamic Agents with Impulsive Effects},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={average consensus undirected network multi-agent systems time-delays impulsive effects},
        doi={10.1007/978-3-642-02466-5_112}
    }
    
  • Quanjun Wu
    Lan Xiang
    Jin Zhou
    Year: 2012
    Average Consensus in Delayed Networks of Dynamic Agents with Impulsive Effects
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_112
Quanjun Wu1, Lan Xiang1, Jin Zhou1,*
  • 1: Shanghai University
*Contact email: Jinzhousu@yahoo.com.cn

Abstract

In this paper, the issues of average consensus in undirected delayed networks of dynamic agents with impulsive effects are investigated. The primary contribution of this paper is to propose the consensus schemes in undirected delayed networks of dynamic agents having impulsive effects as well as fixed, switching topology. Based on impulsive stability theory on delayed dynamical systems, we derive some simple sufficient conditions under which all the nodes in the network achieve average consensus globally exponentially. It is shown that average consensus in the networks is heavily dependent on impulsive effects of communication topology of the networks. Subsequently, two numerical examples illustrate and visualize the effectiveness and feasibility of our theoretical results.