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Positive Consensus Problem: The Case of Complete Communication

  • Maria Elena ValcherEmail author
  • Irene Zorzan
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)

Abstract

In this chapter the positive consensus problem for homogeneous multi-agent systems is investigated, by assuming that agents are described by positive single-input and continuous-time systems, and that each agent communicates with all the other agents. Under certain conditions on the Laplacian of the communication graph, that arise only when the graph is complete, some of the main necessary conditions for the problem solvability derived in [17, 18, 19] do not hold, and this makes the problem solution more complex. In this chapter we investigate this specific problem, by providing either necessary or sufficient conditions for its solvability and by analysing some special cases.

Keywords

Multi agent system Continuous time positive system Consensus Complete communication graph 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Dip. di Ingegneria dell’InformazioneUniv. di PadovaPadovaItaly

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