Reaching a consensus: a discrete nonlinear time-varying case

M. Saburov and K. Saburov

International Journal of Systems Science, 2016, vol. 47, issue 10, 2449-2457

Abstract: In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochastic matrices. We show that the multi-agent system eventually reaches to a consensus if either of the following two conditions is satisfied: (1) every member of the group people has a positive subjective distribution on the given task after some revision steps or (2) all entries of some cubic triple stochastic matrix are positive.

Date: 2016
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DOI: 10.1080/00207721.2014.998743

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