strongly stabilizable infinite-dimensional systems

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1、StronglyStabilizableInfinite-DimensionalSystemsStronglyStabilizableInfinite-DimensionalSystems,Proefschrift,RijksuniversiteitGroningen,InstituutvoorWiskundeenInformaticaPh.D.Thesis,UniversityofGroningenDepartmentofMathematicsandComputingScienceISBN90-367-1018-9PrintedbyPrintPartne

2、rsIpskamp,Enschede,theNetherlands.Coverimage:Bodediagramofastronglystabilizablesystemdescribingpropagationofsoundinaduct.SeeSection9.3RijksuniversiteitGroningenStronglyStabilizableInfinite-DimensionalSystemsProefschriftterverkrijgingvanhetdoctoraatindeWiskundeenNatuurwetenschappe

3、naandeRijksuniversiteitGroningenopgezagvandeRectorMagnificus,dr.D.F.J.Bosscher,inhetopenbaarteverdedigenopvrijdag8januari1999om16.00uurdoorJobCornelisOostveengeborenop19juni1971teHeerlenPromotor:Prof.dr.R.F.CurtainContents1Introduction11.1Motivation...............................

4、.11.2Organisationofthethesis........................62Twomainthemes112.1Strongstability.............................112.2Dissipativesystemswithcollocatedactuatorsandsensors.......183Strongstabilizabilityandstrongdetectability273.1Definitionsandmotivation.......................273

5、.2Equivalenceofinternalandexternalstability..............283.3ThestandardLQRiccatiequation...................304Riccatiequationsforstaticallystabilizablesystems374.1ProblemFormulation..........................374.2Mathematicalpreliminaries.......................404.3Riccatiequat

6、ionsforstablesystems...................464.4Riccatiequationsforunstablesystems..................504.5SpecialtypesofRiccatiequations...................534.5.1J-spectralfactorizations....................534.5.2Thestrictpositivereallemma.................544.5.3Thestrictboundedreall

7、emma.................554.5.4ThecoerciveLQcase......................564.6Examples................................584.6.1Thestrictpositivereallemma.................584.6.2ThestandardLQRiccatiequation...............585Numericalapproximation595.1TheLQRiccatiequation.................

8、.......595.2Approximationofstronglystablesystem