擬線性系統(tǒng)在寬帶隨機(jī)激勵(lì)和多時(shí)滯反饋控制下的響應(yīng)、穩(wěn)定性及首次穿越時(shí)間.pdf

1、浙江大學(xué)航空航天學(xué)院博士學(xué)位論文擬線性系統(tǒng)在寬帶隨機(jī)激勵(lì)和多時(shí)滯反饋控制下的響應(yīng)、穩(wěn)定性及首次穿越時(shí)間姓名：李雪平申請學(xué)位級別：博士專業(yè)：工程力學(xué)指導(dǎo)教師：朱位秋20080101浙江大學(xué)博士學(xué)位論文第一章AbstractInthepresentdissertationthetheoryofstochasticallyexcitedanddissipatedHamiltoniansystemsproposedbyWQZhuisgenera

2、lizedtostudythestochasticresponse，thestochasticstabilityandthereliabilityofquasi—linearsystemundermulti—time—delayedfeedbackcontrolandwidebandrandomexcitationsInthestudyofthestochasticresponsethesystemequationsaretransfo

3、rmedintodifferentialequationswithouttimedelayandtheaveragedIt6stochasticdifferentialequationsfortheslowlyvaryingprocessesarederivedThestationarysolutionoftheaveragedFpKequationassociated謝ththeaveragedIt6equationsisobtain

4、edandtheeffectoftimedelayedfeedbackcontrolontheresponsesisstuiedInthestudyoftheasymptoticLyapunovstabilitywithprobability1，thesystemequationsaretransformedintodifferentialequationswithouttimedelayandthestochasticaveragin

5、gmethodisusedtoderivetheaveragedIt6differentialequationsfortheslowvaringprocessesByintroducinganewnorm，theapproximateformulaforthelargestLyapunovexponentisderivedT11enecessaryandsufficientconditionfortheasympototicLyapun

6、ovstabilitywithprobability1isobtainedInthestudyofthefirstpassagefailure，thesystemequationsaretransformedintodifferentialequations、withouttimedelayandthestochasticaveragingmethodisusedtoderivetheaveragedIt6differentialequ

7、ationsfortheslowvaringprocessesAbackwardKolmogorovequationgoverningtheconditionalreliabilityfunctionandasetofgeneralizedPontryaginequationsgoverningtheconditionalmomentsoffirst—passagetimeareestablished勱econditionalrelia

8、bilityfunctionandmomentsoffirstpassagetimeareobtainedfromsolvingthebackwardKolmogorovequationandgeneralizedPontryaginequationswi也suitableinitialandboundaryconditionsInadditionatimedelayedfeedbackcontrolproblemofpartially

9、observablelinearbuildingstructureunderhorizontalgroundaccelerationexcitationisformulatedandconvertedintothatofcompletelyobservablelinearstructurebyusingtheseparationprincipleThetimedelayedcontrolforcesareapproximatelyexp