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自动化学报 2005
非均质Euler-bernoulli梁的局部反馈定问题, PP. 772-778 Keywords: NonuniformEuler-Bernoullibeam,linearlocallydistributedfeedbackcontrol,linearsemigroup,exponentialstability,piecewisemultipliermethod Abstract: ？Inthisarticle,westudythelocallydistributedfeedbackstabilizationproblemofanonuniformEuler-Bernoullibeam.Firstly,usingthesemi-grouptheory,weestablishthewell-posednessoftheassociatedclosedloopsystem.Thenbyprovingtheuniquenessofthesolutiontoarelatedordinarydifferentialequation,wederivetheasymptoticstabilityoftheclosedloopsystem.Finally,bymeansofthepiecewisemultipliermethod,weprovethat,byeitheronedistributedforcefeedbackoradistributedmomentfeedbackcontrol,theclosedloopsystemcanbeexponentiallystabilized.
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