一類具有擾動的中立型系統(tǒng)的穩(wěn)定性研究.pdf

1、電子科技大學碩士學位論文一類具有擾動的中立型系統(tǒng)的穩(wěn)定性研究姓名：卜維春申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：鐘守銘20090501ABSTRACTABSTRACTTheneutralsyStemswithtimedelayisaspecialsystem、Ⅳimtimedelaywhichcallreflectdeeperandmoreexactlytheruleofthechangeofthingsandrevealthenat

2、ureofthingsSotheresearchofthestabilityforneutralsystemsisnecessaryandhasbeenpaidmuchattentionInthispapertheproblemofstabilityforneutralsystemsisstudiedbyusingLyapunovstabilitytheoryandbasedonthemodelofstatesspace111emain

3、purposeistodiscusstheasymptoticalstabilityofuncertainneutralsystemswithmixeddelaysandnonlinearuncertainties，theexponentialstabilityofuncertainneutralsystemswithmixeddelaysandnonlinearuncertaintiesandtheasymptoticalstabil

4、ityforaclassofswitchedneutralsystemsSomeresultsobtainedareimprovedandperfectedThispapermainlyincludesthefollowingthreeparts：1Theasymptoticalstabilityofuncertainneutralsystemswithmixeddelaysandnonlinearuncertaintiesareinv

5、estigatedBydealingwitlthelinearmatrixinequalities(LMI)accordingtothetechniqueofanalyzinginequalityandconstructingappropriateLyapunovfunctional，theproblemofasymptoticalstabilityforaclassofneutralsystemsareobtainedNumerica

6、lexamplesaregiventoillustratetheeffectivenessoftheproposedmethod2Theproblemofexponentiallystabilityforuncertainneutralsystemswithmixeddela)，SandnonlinearuncertaintiesaleinvestigatedBasedonusingtheSprocedure，constructingL

7、yapunovfunctionalandapplyingthedescriptorsystemapproach，newexponentiallystabilitycriteriaareobtainedandformulatedintermsoflinearmatrixinequalities(LMI)whichcanbeeasytochecktheexponentiallystabilityoftheconsideredsystems3

8、nleproblemofasymptoticalstabilityforaclassofswitchedneutralsystemsareinvestigatedinthispaperByusinglinearmatrixinequalities(LMI)andtakingakindofpeculiarLyapunovfunctionintoaccount，thesufficientconditionsofasymptoticalsta