兩類廣義大系統(tǒng)的穩(wěn)定與鎮(zhèn)定研究.pdf

1、三峽大學碩士學位論文兩類廣義大系統(tǒng)的穩(wěn)定與鎮(zhèn)定研究姓名：胡雅光申請學位級別：碩士專業(yè)：應(yīng)用數(shù)學指導(dǎo)教師：蹇繼貴20090401IIIAbstractWiththerapiddevelopmentofmoderntechnologysciencetheneedoflargeengineeringtechnologyindertoovercomethediffcultywhatcomefromtheincreasingdimensionof

2、itsmathematicalmodelpeoplehaveproposedthesingularlargescalesystem.Theresearchoflargescalesystemshasarousedgreatinterestofthecontrolmathematicalcircleshasbecomeoneofthehotspotsubjects.thestabilityofsingularlargescalesyste

3、msisasimptantasthatofthenmallargescalesystems.Becausethesingularsystemareconcernedwithnotonlystabilitybutalsotheirregularityimpulsefreebehavistheresearchofstabilityofsingularlargescalesystemsaremuchmecomplicatedthanthose

4、ofregularsystems.Inthisdissertationadetailedanalysisofthecurrentsituationofstudyonthestabilityofsingularlargescalesystemsisstudiedthestabilityofsingularlargescalesystemsisscientificresearched.Themainresultsinthisdisserta

5、tionareasfollows:1ThebackgroundrelatedtothesubjectissummarizedthemethodofLyapunovfunctionareintroduced.2Theasymptoticstabilityofdiscretesingularlargescalesystemsisinvestigatedtheproblemofstabilitydecentralizedstabilizati

6、onfdiscretesingularlargescalesystemswithnoncausalityisdiscussedbyLyapunovapproachinthispaper.Undertheassumptionofthesubsystemregularityatheemofasymptoticstabilityofdiscretesingularlargescalesystemsisobtainedafeedbacklawi

7、sdesignedfthedecentralizedstabilizationofdiscretesingularlargescalesystemswithnoncausality.3TheasymptoticstabilityofcontinuoussingularlargescalesystemsisinvestigatedtheLyapunovmethodisemployedtostudytheasymptoticstabilit

8、ystabilizationonimpulsessingularlargescalesystemsthenstatefeedbacklawisdesignedusingcrespondingRicattiequationtostabilizethesingularlargescale.Allresultsarevalidfimpulsenonimpulsesingularlargescale.4Theproblemofstability

9、flineardiscretecontinuoussingularlargescalesystemswithtimedelaynonlinearonesisrespectinelyinvestigatedbytheLyapunovmethod.Theinterconnectingmatricesnonlinearpartsareboundedinthesenseofmatrixspectrumthecriteriaarepresente