[博弈论书籍].pursuit.games,an.introduction.to.the.theory.and.applications.of.differential.games.of.pursuit.and.evasion,otomar hájek,academic press,inc.,1975

《[博弈论书籍].pursuit.games,an.introduction.to.the.theory.and.applications.of.differential.games.of.pursuit.and.evasion,otomar hájek,academic press,inc.,1975》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、PursuitGamesAcademicPressRapidManuscriptReproductionThisisVolume120inMATHEMATICSINSCIENCEANDENGINEERINGASeriesofMonographsandTextbooksEditedbyRICHARDBELLMAN,UniversityofSouthernCaliforniaThecompletelistingofbooksinthisseriesisavailablefromthePublisheruponrequest.PursuitGamesAnIntroductiontotheThe

2、oryandApplicationsofDifferentialGamesofPursuitandEvasionOtomarH6jekDepartmentofMathematicsandStatisticsCaseWesternReserveUniversityCleveland,OhioAcademicPress,Inc.NewYorkSanFranciscoLondon1975ASubsidiaryofHarcwrtBraceJovanovich,PublishersCOPYRIGHT01975,BYACADEMICPRESS,INC.ALLRIGHTSRESERVED.NOPART

3、OFTHISPUBLICATIONMAYBEREPRODUCEDORTRANSMITTEDINANYFORMORBYANYMEANS,ELECTRONICORMECHANICAL,INCLUDINGPHOTOCOPY,RECORDING,ORANYINFORMATIONSTORAGEANDRETRIEVALSYSTEM,WITHOUTPERMISSIONINWRITINGFROMTHEPUBLISHER.ACADEMICPRESS,INC.111FifthAvenue,NewYork,NewYork10003UnitedKingdomEditionpublishedbyACADEMICP

4、RESS,INC.(LONDON)LTD.24/28OvalRoad.LondonNWlLibraryofCongressCataloginginPublicationDataHijek,Otomar.Pursuitgames.(Mathematicsinscienceandengineering;Bibliography:p.Includesindex.1.Differentialgames.I.Title.11.Series,QA272.H34519.375-33342ISBN0-12-317260-8PRINTEDINTHEUNITEDSTATESOFAMERICAContents

5、IntroductionviiConuentionsxiIEXAMPLES11.1NavigationProblem11.2SimplePursuitinthePlane31.3One-DimensionalRocketChase91.4Kelley'sGame:PursuitonaSphere101.5HomicidalChauffeur201.6TwoCars231.7UnpleasantExamples26IIBASICCONCEPTS332.1DifferentialEquations:Miscellany332.2Controls,Strategies,WinningPosit

6、ions382.3PrincipleofSuboptimality47IllSTROBOSCOPICANDISOCHRONOUSCAPTURE553.1ForcingtoOrigin583.2UnorthodoxLinearisation673.3AffineTargets783.4NecessaryConditions853.5GeneralTargets893.6TimeDelays953.7Holding1003.8ConvexSets,PontrjaginDifference1053.9MeasurableSelection1173.10Richter'sTheorem1223.

7、11ReachableSets125VCONTENTSIVISOCHRONOUSCAPTURE1354.1WinningSets1354.2NecessaryConditions140VCAPTURE1495.1NecessaryConditions1495.2SufficientConditions1555.3LargeTargets1625.4InvariantTargets176VIALGEBRAICTHEORY1836.1G