Consensus on compact Riemannian manifolds

  • Authors:
  • Sheng Chen;Lindu Zhao;Weigong Zhang;Peng Shi

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2014

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Abstract

In view of a fact that compact manifolds have the important application in practice, this paper provides a local consensus protocol for connected compact Riemannian manifolds, where communication network can be directed and dynamically switching. Meanwhile, with the help of the compression-decompression functions, we extend the local protocol and propose a global consensus algorithm for such manifolds. Furthermore, to demonstrate their effectiveness and efficiency, the global algorithm is applied to the consensus problem of rotation attitudes, together with a case simulation.