(读)hybrid systems foundations, advanced topics and applications

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1、ThisispageiPrinter:OpaquethisHybridSystems:Foundations,advancedtopicsandapplicationsJohnLygeros,ShankarSastry,andClaireTomlin(ordertbd)April29,2010ThisispageiiPrinter:OpaquethisPrefaceTheaimofthisbookistointroducesomefundamentalconceptsfromtheareaofhybridsystems,thatisdynamicalsystemsthat

2、involvetheinteractionofcontinuous(realvalued)statesanddiscrete(finitevalued)states.Variouschaptersarepepperedwithsimpleexercises,meanttoenhancethelearningexperienceandhighlightsubtlepoints.Theyshouldbeeasy(ifnottrivial)tosolveforstudentswhofollowthematerial.Normallystu-dentsarenotaskedtotu

3、rninsolutionsfortheseexercises.Theexercisesaremeanttohelpthemunderstandthematerialnottotesttheirunder-standing.Studentsarehoweverencouragethemtodiscussthesolutionswiththeinstructoriftheyhaveproblems.Lengthierexercisesthatcanformthebasisofhomeworkandexamquestionsaregivenattheendofmostchapt

4、ers.ThisispageiiiPrinter:OpaquethisContents1MotivationandExamplesofHybridSystems21.1Multi-AgentSystemsandHybridSystems........31.2MotivatingApplications..................51.2.1AutomatedHighwaySystems(John).......51.2.2AirTrafficManagement(Claire)..........71.2.3BiochemicalNetworks(Claire)..

5、.........91.3BibliographyandFurtherReading.............92IntroductiontoDynamicalSystems112.1DynamicalSystemClassification..............112.2StandardDynamicalSystemsExamples..........132.2.1Pendulum:Nonlinear,ContinuousTimeSystem.132.2.2LogisticMap:NonlinearDiscreteTimeSystem.162.2.3Manufac

6、turingMachine:ADiscreteStateSystem172.3ExamplesofHybridStateSystems............192.3.1TheBouncingBall.................202.3.2Thermostat:AHybridStateSystem.......212.3.3GearShiftControl.................222.3.4Collisionavoidancebetweenairplanes(Claire)..242.3.5Collisionavoidancebetweencars.

7、........242.3.6Computer-ControlledSystem...........273HybridAutomataandExecutions293.1Discrete,Continuous,andHybridModels.........29ivContents3.1.1FiniteStateAutomata...............293.1.2Continuous-TimeDynamics............303.1.3HybridAutomata..................303.