A control problem for Burgers' equation

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dc.contributor.authorKang, Sungkwonen
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberWheeler, Robert L.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:08:56Zen
dc.date.adate2006-02-01en
dc.date.available2014-03-14T21:08:56Zen
dc.date.issued1990-04-05en
dc.date.rdate2006-02-01en
dc.date.sdate2006-02-01en
dc.description.abstractBurgers' equation is a one-dimensional simple model for convection-diffusion phenomena such as shock waves, supersonic flow about airfoils, traffic flows, acoustic transmission, etc. For high Reynolds number, the open-loop system (no control) produces steep gradients due to the nonlinear nature of the convection. The steep gradients are stabilized by feedback control laws. In this phase, sufficient conditions for the control input functions and the location of sensors are obtained. Also, explicit exponential decay rates for open-loop and closed-loop systems are obtained. Numerical experiments are given to illustrate some of typical results on convergence and stability.en
dc.description.degreePh. D.en
dc.format.extentiv, 98 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02012006-141702en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141702/en
dc.identifier.urihttp://hdl.handle.net/10919/37223en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.K364.pdfen
dc.relation.isformatofOCLC# 22250212en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.K364en
dc.subject.lcshBurgers equation -- Researchen
dc.titleA control problem for Burgers' equationen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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