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arxiv: 1109.0418 · v1 · pith:LNWSVBWNnew · submitted 2011-09-02 · 🧮 math.OC · cs.DM· cs.SY

Tropical Algebraic approach to Consensus over Networks

classification 🧮 math.OC cs.DMcs.SY
keywords convergencemax-consensusnetworksprotocoltropicalalgebraalgebraicapproach
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In this paper we study the convergence of the max-consensus protocol. Tropical algebra is used to formulate the problem. Necessary and sufficient conditions for convergence of the max-consensus protocol over fixed as well as switching topology networks are given.

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