linear system theory and design.pdf

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1、LINEARSYSTEMTHEORYANDDESIGNThirdEditionChi-TsongChenStateUniversityofNewYorkatStonyBrookNewYorkOxfordOXFORDUNIVERSITYPRESS1999OXFORDUNIVERSITYPRESSOxfordNewYorkAthensAucklandBangkokBogotaBuenosAiresCalcutta´CapeTownChennaiDaresSalaamDelhiFlorenceHongKongIstanbulKarachiKualaLumpurMadridMe

2、lbourneMexicoCityMumbaiNairobiParisSaoPauloSingaporeTaipeiTokyoTorontoWarsaw˜andassociatedcompaniesinBerlinIbadanCopyright©1999byOxfordUniversityPress,Inc.PublishedbyOxfordUniversityPress,Inc.198MadisonAvenue,NewYork,NewYork10016OxfordisaregisteredtrademarkofOxfordUniversityPressAllright

3、sreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,electronic,mechanical,photocopying,recording,orotherwise,withoutthepriorpermissionofOxfordUniversityPress.LibraryofCongressCataloging-in-PublicationDataChen,Chi-TsongLinearsystem

4、theoryanddesign/byChi-TsongChen.—3rded.p.cm.—(TheOxfordseriesinelectricalandcomputerengineering)Includesbibliographicalreferencesandindex.ISBN0-19-511777-8(cloth).1.Linearsystems.2.Systemdesign.I.Title.II.Series.QA402.C441998629.8'32—dc2197-35535CIPPrinting(lastdigit):987654321Printedint

5、heUnitedStatesofAmericaonacid-freepaperContentsPrefacexiChapter1:Introduction11.1Introduction11.2Overview2Chapter2:MathematicalDescriptionsofSystems52.1Introduction52.1.1CausaliityandLumpedness62.2LinearSystems72.3LinearTime-Invariant(LTI)Systems112.3.1Op-AmpCircuitImplementation162.4Lin

6、earization172.5Examples182.5.1RLCNetworks262.6Discrete-TimeSystems312.7ConcludingRemarks37Problems38Chapter3:LinearAlgebra443.1Introduction443.2Basis,Representation,andOrthonormalization453.3LinearAlgebraicEquations483.4SimilarityTransformation533.5DiagonalFormandJordanForm553.6Functions

7、ofaSquareMatrix613.7LyapunovEquation703.8SomeUsefulFormulas713.9QuadraticFormandPositiveDefiniteness733.10Singular-ValueDecomposition763.11NormsofMatrices78Problems78viiviiiCONTENTSChapter4:State-SpaceSolutionsandRealizations864.1Introduction864.2SolutionofLTIStateEquation