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Distributed Consensus for Discrete‐Time Directed Networks of Multiagents with Time‐Delays and Random Communication Links

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Listed:
  • Yurong Liu
  • Hamid Reza Karimi
  • Xiaohui Liu

Abstract

This paper is concerned with the leader‐following consensus problem in mean‐square for a class of discrete‐time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time‐delays. The communication links are assumed to be time‐varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader‐following consensus in mean‐square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.

Suggested Citation

  • Yurong Liu & Hamid Reza Karimi & Xiaohui Liu, 2013. "Distributed Consensus for Discrete‐Time Directed Networks of Multiagents with Time‐Delays and Random Communication Links," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:158731
    DOI: 10.1155/2013/158731
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    References listed on IDEAS

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    1. Peng, Ke & Yang, Yupu, 2009. "Leader-following consensus problem with a varying-velocity leader and time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 193-208.
    2. Malte Andersson & Johan Wallander, 2004. "Kin selection and reciprocity in flight formation?," Behavioral Ecology, International Society for Behavioral Ecology, vol. 15(1), pages 158-162, January.
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