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1、煙臺大學碩士學位論文Stochasticstabilityanalysiscontrolbasedonenergyfunctions姓名：崔明月申請學位級別：碩士專業(yè)：運籌學與控制論指導教師：吳昭景201103AbstractStochasticstabilityanalysiscontrolbasedonenergyfunctionsisconsideredinthispaperthatistheyofstochasticdissip
2、ativesystemadaptivetrackingfaclassofstochasticHamiltoniancontrolsystems.Ontheonehbyintroducingthefirstexittimeanewdefinitionofdissipativityispresentedbasedonsomeassumptionsthatareveryreasonablefmostphysicalmodels.Thisdef
3、initionissuitfstochasticnonlinearsystemswhichdonotnecessarilyadmitsolutionsovertheinfiniteintervalitselfcanbeusedtoprovetheexistenceofsolution.Criteriaonexistencestabilityofsolutionrequirenosmoothnessofstagefunctionswhic
4、hcanbeseenastheextensionofLyapunovfunctionmethodstononsmoothcase.Ftheinterconnectednonlinearstochasticsystemsapassivetheemispresentedtodisplaythesuperiityofthenewframewkwhichdemonstratesthatthereisnoneedtocalculatethefir
5、stexittimewhenoneappliesdissipativitytoanalyzeexistencestabilityofsolution.OntheotherhtheproblemofadaptivetrackingfaclassofstochasticHamiltoniancontrolsystemswithunknownnonlineardriftdiffusionfunctionsisconsidered.Somedi
6、fficultiescomefth:integralchainconsistsofvectsunknowncontrolgainisadefinitepositivematrixcontroltrackingerrareindifferentchannelswhicharerarelyconsideredinstochasticnonlinearcontrols.Toovercometheseproblemsavectfmofadapt
7、ivebacksteppingcontrollerisdesignedsuchthattheclosedloopstochasticHamiltoniansystemhasauniquesolutionthatisgloballyboundedinprobabilitytheL4nmofthetrackingerrconvergestoanarbitrarilysmallneighbhoodofzero.Asapplicationstw
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