Mathematical models of nonlinear uniform consensus
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Science Society of Thailand under Royal Patronage
2014
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| Subjects: | |
| 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/ |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English |
| Summary: | 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. |
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