Inthispaper,theproblemofconsensusforcontinuoustimesingularsystemsofmulti-agentnetworksisconsidered.Thedefinitionofr-consensusisintroducedforsingularsystemsofmulti-agentnetworks.Firstly,linearsystemswithalgebraicconstraintsareconsidered,andthecorrespondingresultsaboutconsensusandaverage-consensusarederived.Thenr-consensusandconsensusproblemsofsingularsystemsareinvestigated.Sufficientconditionsofr-consensusandconsensusareobtained,respectively.Finally,anillustrativeexampleisgiventoshowtheeffectivenessoftheproposedmethod.
