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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This paper was partially supported by the National Natural Science Foundation of China under Grant Nos. 61174141 and 61374025, Research Awards Young and Middle-Aged Scientists of Shandong Province under Grant Nos. BS2011SF009 and BS2011DX019, Excellent Youth Foundation of Shandong Province under Grant No. JQ201219.
This paper was recommended for publication by Editor ZHANG Jifeng
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Zhang, L., Feng, Je. & Yao, J. Consensus and r-consensus problems for singular systems. J Syst Sci Complex 27, 252–262 (2014). https://doi.org/10.1007/s11424-014-1294-y
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DOI: https://doi.org/10.1007/s11424-014-1294-y