Some results on nonlinear optimal control

Simple item page
dc.contributor.authorZhu, Jinghaoen
dc.contributor.committeechairRussell, David L.en
dc.contributor.committeememberRogers, Robert C.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.committeememberOlin, Robert F.en
dc.contributor.committeememberWheeler, Roberten
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:20:19Zen
dc.date.adate2006-10-04en
dc.date.available2014-03-14T21:20:19Zen
dc.date.issued1996en
dc.date.rdate2006-10-04en
dc.date.sdate2006-10-04en
dc.description.abstractThis thesis consists of two individual mathematical papers which have been developed in the course of the author’s thesis work. They deal with certain aspects of optimal control of systems in which the system equations are nonlinear, the cost integrand is non- quadratic, or both. The first paper deals an extension from the linear-quadratic case to systems as just described of the so called Newton-Kleinman method. Here we carry out this extension theoretically and prove that the associated sequence of stabilizing feedback controls converges uniformly to the optimal control. In the second chapter of this work we generalize the existence and uniqueness theory for the nonlinear-nonquadratic optimal control problem from the critical point and periodic cases studied earlier by Lukes and Zhang, respectively, to the case where the invariant target set is a compact submanifold of the state space.en
dc.description.degreePh. D.en
dc.format.extentiv, 59 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10042006-143910en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10042006-143910/en
dc.identifier.urihttp://hdl.handle.net/10919/39619en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1996.Z48.pdfen
dc.relation.isformatofOCLC# 35594368en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1996.Z48en
dc.titleSome results on nonlinear optimal controlen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LD5655.V856_1996.Z48.pdf
Size:
1.83 MB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Doctoral Dissertations