sontag_mathematical_control_theory_springer98

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1、ivSeriesPrefacevviPrefacetotheSecondEditionThemostsignificantdifferencesbetweenthiseditionandthefirstareasfollows:•Additionalchaptersandsectionshavebeenwritten,dealingwith:–nonlinearcontrollabilityviaLie-algebraicmethods,–variationalandnumericalapproachestononlinearcontrol,includingabriefintroduction

2、totheCalculusofVariationsandtheMinimumPrinciple,–time-optimalcontroloflinearsystems,–feedbacklinearization(single-inputcase),–nonlinearoptimalfeedback,–controllabilityofrecurrentnets,and–controllabilityoflinearsystemswithboundedcontrols.•Thediscussiononnonlinearstabilizationhasbeenexpanded,introdu

3、cingthebasicideasofcontrol-Lyapunovfunctions,backstepping,anddampingcontrol.•Thechapterondynamicprogrammingandlinear-quadraticproblemshasbeensubstantiallyedited,sothatthematerialonlinearsystemscanbereadinafullyindependentmannerfromthenonlinearpreliminaries.•Afairlylargenumberoferrorsandtyposhavebe

4、encorrected.•Alistofsymbolshasbeenadded.Iwouldliketostronglyencouragereaderstosendmesuggestionsandcom-mentsbye-mail(sontag@control.rutgers.edu),andalsotovisitthefollowingWebsite:http://www.math.rutgers.edu/˜sontag/viiviiiPrefacetotheSecondEditionwhereIexpecttopostupdates,additionalmaterialandrefer

5、ences,links,anderrata.Thecurrentcontentsofthetextfarexceedwhatcanbedoneinayear,ifallmaterialiscoveredandcompleteproofsaregiveninlectures.However,thereareseveralwaystostructureayear-longcourse,ortwosuchcourses,basedonpartsofthebook.Forexample,onemaycoveronlythelineartheory,skippingtheoptionalsectio

6、nsaswellasthechaptersonnonlinearcontrollabilityandmultiplier(variational)methods.Aseparatecourse,fairlyindependent,couldcoverthemoreadvancednonlinearmaterial.Ultimately,thetopicsshouldreflectstudentandfacultybackgroundandinterests,andI’llbehappytodiscusssyllabiwithpotentialinstructors.Iwishtothanka

7、llthosecolleagues,students,andreaderswhohavesentmesuggestionsandcomments,includinginparticularBrianIngalls,GerardoLafferriere,MichaelMalisoff,andKonradReif.AmostspecialacknowledgmentgoestoJoseLuisMancillaAguilarand