Reaching a consensus: a discrete nonlinear time-varying case

• Main Authors: Saburov, Mansoor, Saburov, Khikmat
• Format: Article
• Language: English; English; English
• Published: Taylor and Francis Ltd. 2016
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/51165/1/Reaching_a_consensus---_IJSS.pdf; http://irep.iium.edu.my/51165/4/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_SCOPUS.pdf; http://irep.iium.edu.my/51165/5/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_WOS.pdf; http://irep.iium.edu.my/51165/; http://www.tandfonline.com/doi/abs/10.1080/00207721.2014.998743?journalCode=tsys20
• Institution: Universiti Islam Antarabangsa Malaysia

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.