Reaching a nonlinear consensus: polynomial stochastic operators
We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show that the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Springer
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38828/1/38828_Reaching%20a%20nonlinear%20consensus.pdf http://irep.iium.edu.my/38828/2/38828_Reaching%20a%20nonlinear%20consensus_SCOPUS.pdf http://irep.iium.edu.my/38828/3/38828_Reaching%20a%20nonlinear%20consensus_WOS.pdf http://irep.iium.edu.my/38828/ http://link.springer.com/article/10.1007/s12555-014-0061-0 |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English English |
| Summary: | We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show
that the multi-agent system eventually reaches to 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 a multidimensional stochastic hypermatrix are positive.
Numerical results are also presented. |
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