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Cluster Anticonsensus of Multiagent Systems Based on the -Theory

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  • Liping Zhang
  • Haibo Jiang
  • Shuguang Guo

Abstract

We investigate the problem of cluster anticonsensus of multiagent systems. For multiagent continuous systems, a new control protocol is designed based on the -theory. Then by LaSalle's invariance principle we prove that if the graph is connected and bipartite, then the cluster anticonsensus is achieved by the proposed control protocol. On the other hand, a similar control protocol is designed for multiagent discrete-time systems. Then, sufficient conditions are given to guarantee the cluster anticonsensus of multiagent discrete-time systems by using the -theory and LaSalle's invariance principle. Numerical simulations show the effectiveness of our theoretical results.

Suggested Citation

  • Liping Zhang & Haibo Jiang & Shuguang Guo, 2014. "Cluster Anticonsensus of Multiagent Systems Based on the -Theory," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnddns:254749
    DOI: 10.1155/2014/254749
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    Cited by:

    1. Yu, Guanglong & Zhai, Mingqing & Yan, Chao & Guo, Shu-guang, 2018. "The least Q-eigenvalue with fixed domination number," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 477-487.

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