廣義雙線性系統(tǒng)的控制研究.pdf

1、黑龍江大學碩士學位論文廣義雙線性系統(tǒng)的控制研究姓名：齊義文申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：張顯20080428黑龍江大學碩士學位論文AbstractBilinearsystemisthesimplestnonlinearsystemsandmostapproximatestolinearsystemManyactualfieldmodels(suchaseconomybiologyzoologychemicalindustry

2、population，etc)CallbeconcludedorapproximatedtoabilinearsystemInrecentseveraldecades，thecontrolproblemsforbilinearsystemhasbeenwidelystudiedbynationwideresearchers，buttherearefewresultsinresolvingsingularbilinearsystemcon

3、trolproblemsFromthetheoryofsingularsystem，bilinearsystemisaspecialformofsingularbilinearsystemmodel，forthisreason，studyingforsingularbilinearsystemnotonlyhasapplicationvalues，butalsohastheorysignificanceThisthesisgivesom

4、ediscussesonlyonthestabilitycontrolproblemofsingularbilinearsystemsThemaincontentmaybesummarizedasfollows：(i)ThegloballyasymptoticallystableproblemofaclassofdiscretetimesingularbilinearsystemsisstudiedForthesystems，wegiv

5、easimplefeedbackcontrollaw，suchthattheresultingclosed—loopsystemsisgloballyasymptoticallystabilityTheassumptionsintheliteratureareweakened，whichstatesthattheobtainedresulthasmorewidelyapplicativerange(ii)Thequadratically

6、stableproblemforaclassofdiscret爭timesingularbilinearsystemswithuncertainparametersunderexogenousinputsisstudiedBasedonpassivitytheoryandbymeansoflinearmatrixinequalities，asufficientconditionisgivenforuncertaindiscretetim

7、esingularbilinearsystemstobegeneraliZedquadraticallystableandstrictlypassiveFromwhich，asufficientconditionisgivenfortheclosedloopsystemsunderstatefeedbacktobegeneralizedquadraticallystableandstrictlypassive(iii)Thezeroso

8、lutionasymptoticallystableproblemforaclassoftimedelaysingularbilinearsystemsunderexogenousinputsisstudiedBymeansoflinearmatrixinequalities，asufficientconditionisgivenfortimedelaysingularbilinearsystemstobezerosolutionasy