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Cluster Consensus on Discrete-Time Multi-Agent Networks

Author

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  • Li Xiao
  • Xiaofeng Liao
  • Huiwei Wang

Abstract

Nowadays, multi-agent networks are ubiquitous in the real world. Over the last decade, consensus has received an increasing attention from various disciplines. This paper investigates cluster consensus for discrete-time multi-agent networks. By utilizing a special coupling matrix and the Kronecker product, a criterion based on linear matrix inequality (LMI) is obtained. It is shown that the addressed discrete-time multi-agent networks achieve cluster consensus if a certain LMI is feasible. Finally, an example is given to demonstrate the effectiveness of the proposed criterion.

Suggested Citation

  • Li Xiao & Xiaofeng Liao & Huiwei Wang, 2012. "Cluster Consensus on Discrete-Time Multi-Agent Networks," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, October.
    • Handle: RePEc:hin:jnlaaa:274735
    DOI: 10.1155/2012/274735
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