兩類非線性奇攝動系統(tǒng)的穩(wěn)定性分析.pdf

1、廣西大學碩士學位論文兩類非線性奇攝動系統(tǒng)的穩(wěn)定性分析姓名：陳富申請學位級別：碩士專業(yè)：運籌學與控制論指導教師：陳武華20100601STABILITYANAI，ySIS0FTWoCLASSESOFNONLINEARSINGULARLYPERTURBEDSYSTEMSABSTRACTInv觚ious矗eldsofscienceandengineering，thereareanun出erofphysicalsys七emswhichconta

2、intwosignificantlydi行erentdynamicmodes：faLstmodesandslowmodesSingularlyperturbedsystenlsprc麗deana土uraldescriptionofthesesysteIrlsOntheotherhand，therearemanyrealsystemsinwhichthest砒es甜echangedabruptlyatce卜tainmomentsdurin

3、gtheprocessesThisisthefamiliarimpulsi、rephenomenonBesidesimpulsivee腸ct，arealsystemisusuallya乳ctedbystochasticenvironment，tiInedelayandmodelinguncertaintySo，itisneededtocollsiderimpulsive(stochaLstic，timedelay，uncertain)e

4、髓ctsonthestabilityofsingularlyperturbedsyste腳Inthisthesis，stabilityprobleⅡlsforaclassofsingularlyperturbedstochaStictiIr崢delaysysteInswithimpulsee8＆tandaclassofsingul甜lyperturbeddiscretetimesyste瑚耐thnonlinearuncertaintie

5、SarestudiedThemainworkofthisthesisliesinthefollo謝ng：1E印onenti址stabilityforaclaussofsingularlyperturbedstochastictim爭delaysptemswithimpulsee伍∞tisin、^estigatedByusingthecomparisonprincipleandtimescaledecomposition，Lyapunav

6、basedsu伍cientconditionsforexponentialstabilityinmeansquareforsumcientlysmallsingularperturbationp甜ameterarederi、稍Somekn∞mresults盯egenerahzedandimp刪2RDbuststabihtyproblemforaclaussofsingul盯lyperturbed出scretetimesyste瑚謝thn

7、onlineauruncertaintieSisstudiedBy11singcomp盯isonprincipleandJu珂Stability7I鎊t，su伍cientconditionsforrobustas皿ptoticalstabilityareestablishedinterⅡ1sofasetoflinearmatri)【ineq【uditiesnrthermore，theupperboundofthesingularpert

8、urbationpar鋤eterisd嘶vedbysol訪nglinearmatri)【inequalitiesandrelatedc0IlstraintsNuIneric2Ll蚴plesareprovidedtodemonstratethe舐bctiVenessandapplicabilityoftheproposedapproachKEYWoRDS：TiIIledelay；Singularperturbatiolls；Stochas