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Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout

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  • Wen-Min Zhou
  • Jiang-Wen Xiao

Abstract

This paper is concerned with the consensus problem of general linear discrete‐time multiagent systems (MASs) with random packet dropout that happens during information exchange between agents. The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus protocol with weighted graph is proposed to address the packet dropout phenomenon. Through introducing a new disagreement vector, a new framework is established to solve the consensus problem. Based on the control theory, the perturbation argument, and the matrix theory, the necessary and sufficient condition for MASs to reach mean‐square consensus is derived in terms of stability of an array of low‐dimensional matrices. Moreover, mean‐square consensusable conditions with regard to network topology and agent dynamic structure are also provided. Finally, the effectiveness of the theoretical results is demonstrated through an illustrative example.

Suggested Citation

  • Wen-Min Zhou & Jiang-Wen Xiao, 2013. "Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:412189
    DOI: 10.1155/2013/412189
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    References listed on IDEAS

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    1. Wu, Zhihai & Peng, Li & Xie, Linbo & Wen, Jiwei, 2013. "Stochastic bounded consensus tracking of leader–follower multi-agent systems with measurement noises based on sampled-data with small sampling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 918-928.
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