Mathematical models of nonlinear uniform consensus

作者：Saburov Mansoor^*; Saburov Khikmat

来源：ScienceAsia, 2014, 40(4): 306-312.

DOI：10.2306/scienceasia15134874.2014.40.306

• cubic triple stochastic matrix
• multi-agent system
• nonlinear protocol
• nonlinear consensus

We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches a consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective opinion on the given task after some revision steps or (ii) all entries of the given cubic triple stochastic matrix are positive.

• 出版日期2014-8