Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajecto...
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| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English English English English |
| Published: |
IOP Publishing
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf http://irep.iium.edu.my/57120/ http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012009 |
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| Summary: | This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of non-autonomous polynomial stochastic operators associated with multidimensional stochastic hyper-matrices. We show that the multi-agent
system eventually reaches to a nonlinear consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective distribution on the given task after some revision steps or (ii) all entries of some multidimensional stochastic hyper-matrix are positive. |
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