A variational approach to local optimality in control theory

Simple item page
dc.contributor.advisorReddy, Dayaen_ZA
dc.contributor.advisorYavin, Profen_ZA
dc.contributor.authorBrown, Bruce J Len_ZA
dc.date.accessioned2014-07-31T08:06:28Z
dc.date.available2014-07-31T08:06:28Z
dc.date.issued2001en_ZA
dc.descriptionBibliography: leaves 203-212.
dc.description.abstractA new approach to control theory is investigated in this thesis. The approach is based on a locally specified state space model of the control dynamics; together with a goal function, which defines a generalized distance from each state position to the desired equilibrium point or trajectory. A feedback control function is sought, which will result in a system response which approximates the gradient descent trajectories of the specified goal function. The approximation is chosen so that the resulting trajectories satisfy a certain local optimality criterion, involving the averaged second derivative of the goal function along the trajectories.en_ZA
dc.identifier.apacitationBrown, B. J. L. (2001). <i>A variational approach to local optimality in control theory</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4869en_ZA
dc.identifier.chicagocitationBrown, Bruce J L. <i>"A variational approach to local optimality in control theory."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2001. http://hdl.handle.net/11427/4869en_ZA
dc.identifier.citationBrown, B. 2001. A variational approach to local optimality in control theory. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Brown, Bruce J L AB - A new approach to control theory is investigated in this thesis. The approach is based on a locally specified state space model of the control dynamics; together with a goal function, which defines a generalized distance from each state position to the desired equilibrium point or trajectory. A feedback control function is sought, which will result in a system response which approximates the gradient descent trajectories of the specified goal function. The approximation is chosen so that the resulting trajectories satisfy a certain local optimality criterion, involving the averaged second derivative of the goal function along the trajectories. DA - 2001 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2001 T1 - A variational approach to local optimality in control theory TI - A variational approach to local optimality in control theory UR - http://hdl.handle.net/11427/4869 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4869
dc.identifier.vancouvercitationBrown BJL. A variational approach to local optimality in control theory. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2001 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4869en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.titleA variational approach to local optimality in control theoryen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_2001_brown_bjl.pdf
Size:
8.58 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
PhD / Doctoral