Reaching a consensus: a discrete nonlinear time-varying case
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 stochast...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Taylor and Francis Ltd.
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ 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 |
| Summary: | 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. |
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