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

This 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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1993

Author dc:creator

• Zhang, Xiaohong

Chair dc:contributor.committeechair

• Russell, David L.

Committee members dc:contributor.committeemember

• Burns, John A.
• Herdman, Terry L.
• Hannsgen, Kenneth B.
• Cliff, Eugene M.

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-10262005-101000

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/40185