Constrained consensuses in disconnected topologies |
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| Authors: | Song Hai-Yu Yu Li Hu Hong-Xiang and Zhang Wen-An |
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| Institution: | College of Information Engineering, Zhejiang University of Technology and Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China;College of Information Engineering, Zhejiang University of Technology and Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China;College of Information Engineering, Zhejiang University of Technology and Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China;College of Information Engineering, Zhejiang University of Technology and Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China |
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| Abstract: | This paper is concerned with the constrained consensuses problem for a group of agents in disconnected topologies. By dividing the communication topology into a combination of directed trees, some necessary and sufficient conditions are derived for all the agents to asymptotically reach a single consensus and multiple consensuses, respectively. The obtained results indicate that arbitrary anticipant consensuses can be achieved, if additional constrained controllers are added to those agents with specific indexes. Some illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results. |
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| Keywords: | disconnected topologies single consensus multiple consensuses |
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