nonlinear system theory (john l. casti)

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1、NonlinearSystemTheoryThisisVolume175inMATHEMATICSINSCIENCEANDENGINEERINGASeriesofMonographsandTextbooksEditedbyRICHARDBELLMAN,UniversityofSouthernCaliforniaThecompletelistingofbooksinthisseriesisavailablefromthePublisheruponrequest.NONLINEARSYSTEMTHEORYJohnL.CastiInternational

2、InstituteforAppliedSystemsAnalysisLaxenburg,Austria1985ACADEMICPRESS,INC.(HarcourtBraceJovanovich,Publishers)OrlandoSanDiegoNewYorkLondonTorontoMontrealSydneyTokyoCOPYRIGHT@1985,BYACADEMICPRESS.INC.ALLRIGHTSRESERVED.NOPARTOFTHISPUBLICATIONMAYBEREPRODUCEDORTRANSMITIBDINANYFORMO

3、RBYANYMEANS,ELECI'RONICORMECHANICAL,INCLUDINGPHOTOCOPY.RECORDING.ORANYINFORMATIONSTORAGEANDRETRIEVALSYSTEM.WITHOUTPERMISSIONINWRITINGFROMTHEPUBLISHER.ACADEMICPRESS,INC.Orl~do.Florida32887UnitedKingdomEditionpublishedbyACADEMICPRESSINC.(LONDON)LTD.2&28OvalRoad.LondonNWI7DXLibra

4、ryofCongressCataloginginPublicationDataCasti,J.L.Nonlinearsystemtheory.(Mathematicsinscienceandengineering)Includesbibliqraphicalreferencesandindex.1.Systemanalysis.2.Nonlineartheories.I.Title.11.Series.QA402.C38198300384-6463ISBN0-12-163452-3(alk.paper)858687889876S4321ToV,wi

5、thloveandadmirationforalivingsystemthatcontinuestodefyanalysis.ThispageintentionallyleftblankContentsPrefaceixChapter1PerspectivesandProblemsofNonlinearSystemTheoryI.ANonlinearWorld111.TheCentralQuestionsofSystemTheory10111.ClassesofNonlinearProcesses18IV.LinearversusNonlinear

6、SystemTheory19NotesandReferences23Chapter2MathematicalToolsofNonlinearSystemTheory1.Introduction2511.AlgebraicConcepts25111.SomeIdeasfromDifferentialGeometry36IV.ConceptsfromAlgebraicGeometry44V.GrassmannManifoldsandtheClassificationProblem54ProblemsandExercises62NotesandRefer

7、ences66Chapter3AModemViewofLinearSystemTheoryI.Introduction6811.MathematicalDescriptionofaLinearSystem69111.TheModuleStructureof8,r,and70IV.SomeSystem-TheoreticConsequences75V.TransferFunctions78VI.RealizationofTransferFunctions82v11.TheConstructionofCanonicalRealizations85VII

8、I.PartialRealizations92vii...VlllContents1X.Pole-ShiftingandS