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1、Vol.35,No.2ACTAAUTOMATICASINICAFebruary,2009Delay-dependentRobustStabilizationforUncertainSingularSystemswithMultipleInputDelays11;21DUZhao-PingZHANGQing-LingLIULi-LiAbstractInthispaper,theproblemofdelay-dependentrobuststabilizationisinvestigatedforsingularsystemswithmultipleinputdel
2、aysandadmissibleuncertainties.First,animproveddelay-dependentstabilizationcriterionforthenominalsystemisestablishedintermsoflinearmatrixinequalities(LMIs).Then,basedonthiscriterion,theproblemissolvedviastatefeedbackcontroller,whichguaranteesthattheresultantclosed-loopsystemisregular,
3、impulsefree,andstableforalladmissibleuncertainties.Numericalexamplesareprovidedtoillustratethee®ectivenessoftheproposedmethod.KeywordsDelay-dependent,stability,robuststabilization,singularsystems,multipleinputdelaysTime-delaysareoftenencounteredinvariousdynamicInthispaper,weconsidert
4、heproblemofdelay-systems,suchasmanufacturingsystems,economicsys-dependentrobuststabilizationforuncertainsingularsys-tems,biologicalsystems,networkedcontrolsystems,etc.temswithmultipleinputdelays.First,adelay-dependentTheyaregenerallyregardedasamainsourceofinsta-stabilizationcriterion
5、fortheresultantnominalsystemisbilityandpoorperformanceinsuchsystems.IntheestablishedintermsofLMIs.Then,basedonthiscrite-pastdecades,theproblemsofrobuststabilityandrobustrion,thedelay-dependentrobuststabilizationcriterionisstabilizationforlineartime-delaysystemshavebeenin-proposed.Fin
6、ally,twoexamplesaregiventoshowtheef-vestigated.Commonly,theexistingresultscanbeclas-fectivenessofthepresentedresults.si¯edintotwotypes:delay-independentconditions[1¡2]Therestofthispaperisorganizedasfollows.Inanddelay-dependentconditions[3¡7].Generally,thedelay-Section2,theproblemisfo
7、rmulated.InSection3,theindependentcaseismoreconservativethanthedelay-mainresultsincludingresultsonstabilizationandrobustdependentcase.stabilizationaregiven.InSection4,numericalexamplesInrecentyears,muchattentionhasbeenfocusedonthearepresentedtoillustratetheproposedresultse®ectively.p
8、roblemsofrob
