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Optimal feedback control for nonlinear discrete systems and applications to optimal control of nonlinear periodic ordinary differential equations

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dc.contributor.authorZhang, Xiaohongen
dc.contributor.committeechairRussell, David L.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:22:16Zen
dc.date.adate2005-10-26en
dc.date.available2014-03-14T21:22:16Zen
dc.date.issued1993en
dc.date.rdate2005-10-26en
dc.date.sdate2005-10-26en
dc.description.abstractThis dissertation presents a discussion of the optimal feedback control for nonliner systems (both discrete and ODE) and nonquadratic cost functions in order to achieve improved performance and larger regions of asymptotic stability in the nonlinear system context. The main work of this thesis is carried out in two parts; the first involves development of nonlinear, nonquadratic theory for nonlinear recursion equations and formulation, proof and application of the stable manifold theorem as it is required in this context in order to obtain the form of the optimal control law. The second principal part of the dissertation is the development of nonlinear, nonquadratic theory as it relates to nonautonomous systems of a particular type; specifically periodic time varying systems with a fixed, time invariant critical point.en
dc.description.degreePh. D.en
dc.format.extentviii, 132 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10262005-101000en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10262005-101000/en
dc.identifier.urihttp://hdl.handle.net/10919/40185en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1993.Z536.pdfen
dc.relation.isformatofOCLC# 28529325en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1993.Z536en
dc.subject.lcshDifferential equations, Nonlinearen
dc.subject.lcshFeedback control systems -- Mathematical modelsen
dc.subject.lcshNonlinear control theory -- Mathematical modelsen
dc.titleOptimal feedback control for nonlinear discrete systems and applications to optimal control of nonlinear periodic ordinary differential equationsen
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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