Mathematical models of nonlinear uniform consensus II
This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operato...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
L & H Scientific Publishing, LLC
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf http://irep.iium.edu.my/64769/ https://www.lhscientificpublishing.com/Journals/JAND-Download.aspx?volume=2018&issue=1 |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English |
| Summary: | This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant 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 stochastic multidimensional hyper-matrix. We provide a criterion for a uniform consensus in the multi-agent system. Particularly, the uniform consensus is achieved in the multi-agent system if all entries of the stochastic multidimensional hyper-matrix are positive. Some numerical results are also presented to support our theoretical results. |
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