The proportion of leaders needed for the expected consensus |
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Authors: | Zhixin Liu Jing Han Xiaoming Hu[Author vitae] |
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Affiliation: | aKey Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China;bOptimization and Systems Theory, Royal Institute of Technology, 10044 Stockholm, Sweden |
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Abstract: | In order to have a self-organized multi-agent system exhibit some expected collective behavior, it is necessary to add some special agents with information (called leaders) to intervene the system. Then a fundamental question is: how many such leaders are needed? Naturally the answer depends on the model to be studied. In this paper a typical model proposed by Vicsek et al. is used for answering the question. By estimating the characteristics concerning the initial states of all agents and analyzing the system dynamics, we provide lower bounds on the ratio of leaders needed to guarantee the expected consensus. |
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Keywords: | Proportion Leader&ndash follower model Consensus Multi-agent systems Vicsek&rsquo s model |
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