简介：Tbegoalofthispaperistoresearchonenewcharacteristicofcomplexsystem.Brittleness,whichisonenewcharacteriticofcomplexsystem,ispresentedinthispaper.Thelinguisticandqualitativedescriptionsofcomplexsystemarealsogiveninthispaper.Otherwise,thequalitativedescriptionofcomplexsystemispresentedatfirst.Onthebasisofanalyzingtheexistingbrittlenessproblems,linguisticdescriptionandmathematicdescriptionofbrittlenessaregivenaswell.Threekindsofphenomenatojudgebrittlenessofcomplexsystemarealsogiven,basedoncatastrophetheory.Basiccharacteristicsofbrittlenessaregivenonthebasisofitsmathematicdescription.Twocriticalpointsetsaredefinedbyusingcatastrophetheory.Thedefinitionofbrittlenessanditsrelatedtheorycanservethecontrolofcomplexsystem,andprovidetheoreticalbasisforthedesignandcontrolofcomplexsystem.
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