Mathematical models of nonlinear uniform consensus

• Main Authors: Saburov, Mansoor, Saburov, Khikmat
• Format: Article
• Language: English; English
• Published: Science Society of Thailand under Royal Patronage 2014
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf; http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf; http://irep.iium.edu.my/39451/; http://www.scienceasia.org/
• Institution: Universiti Islam Antarabangsa Malaysia

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.