Consensus and r-consensus problems for singular systems |
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Authors: | Lequn Zhang Jun-e Feng Juan Yao |
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Institution: | 1. School of Mathematics, Shandong University, Jinan, 250100, China
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Abstract: | In this paper, the problem of consensus for continuous time singular systems of multi-agent networks is considered. The definition of r-consensus is introduced for singular systems of multi-agent networks. Firstly, linear systems with algebraic constraints are considered, and the corresponding results about consensus and average-consensus are derived. Then r-consensus and consensus problems of singular systems are investigated. Sufficient conditions of r-consensus and consensus are obtained, respectively. Finally, an illustrative example is given to show the effectiveness of the proposed method. |
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