拟线性双曲系统的能控性与能观性(国内英文版)
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作者李大潜 著作
出版社高等教育出版社
ISBN9787040241631
出版时间2010-03
装帧其他
纸张胶版纸
定价65元
货号SC:9787040241631
上书时间2024-11-20
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《拟线性双曲系统的能控性与能观性(英文版)》是由高等教育出版社出版的。
内容简介:
《拟线性双曲系统的能控性与能观性(英文版)》内容简介：Thecontrollabilityandobservabilityareofgreatimportanceinboththeoryandapplications.Acompletetheoryhasbeenestablishedforlinearhyperbolicsystems,inparticular,forlinearwaveequations.Therehavealsobeensomeresultsforsemilinearwaveequations.Forquasilinearhyperbolicsystemsthathavenumerousapplicationsinmechanics,physicsandotherappliedsciences,however,veryfewresultsareavailableevenwithspacedimensionone.
Thismonographisbasedmainlyontheresultsobtainedbytheauthorandhiscollaboratorsinrecentyears.Bymea~~softhetheoryonthesemi-globalclassicalsolution,asimpleanddirectconstructivemethodispresentedinasystematicwaytogetboththecontrollabilityandobservabilityintheframeworkofclassicalsolutionsforgeneralfirstorder1-Dquasilinearhyperbolicsystemswithgeneralnonlinearboundaryconditions.Co
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目录:
Introduction
1.1ExactControllability
1.2ExactObservability
1.3"Duality"BetweenControllabilityandObservability
1.4ExactBoundaryControllabilityandExactBoundaryObservabilityfor1-DQuasilinearWaveEquations
1.5ExactBoundaryControllabilityandExactBoundaryObservabilityofUnsteadyFlowsinaTree-LikeNetworkofOpenCanals
1.6NonautonomousHyperbolicSystems
1.7NotesontheOne-SidedExactBoundaryControllabilityandObservability
2Semi-GlobalC1SolutionsforFirstOrderQuasilinearHyperbolicSystems
2.1Introduction
2.2EquivalenceofProblemIandProblemII
2.3LocalC1SolutiontotheMixedInitial-BoundaryValueProblem
2.4Semi-GlobalC1SolutiontotheMixedInitial-BoundaryValueProblem
2.5Remarks
3ExactControllabilityforFirstOrderQuasilinearHyperbolicSystems
3.1Introd
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