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A variational approach to local optimality in control theory
Bibliography: leaves 203-212.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613331954597888 |
|---|---|
| access_status_str | Open Access |
| author | Brown, Bruce J L |
| author2 | Reddy, Daya |
| author_browse | Brown, Bruce J L Reddy, Daya |
| author_facet | Reddy, Daya Brown, Bruce J L |
| author_sort | Brown, Bruce J L |
| collection | Thesis |
| description | Bibliography: leaves 203-212. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4869 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:27.383Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/4869 A variational approach to local optimality in control theory Brown, Bruce J L Reddy, Daya Yavin, Prof Bibliography: leaves 203-212. 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. 2014-07-31T08:06:28Z 2014-07-31T08:06:28Z 2001 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/4869 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Brown, Bruce J L A variational approach to local optimality in control theory |
| thesis_degree_str | Doctoral |
| title | A variational approach to local optimality in control theory |
| title_full | A variational approach to local optimality in control theory |
| title_fullStr | A variational approach to local optimality in control theory |
| title_full_unstemmed | A variational approach to local optimality in control theory |
| title_short | A variational approach to local optimality in control theory |
| title_sort | variational approach to local optimality in control theory |
| url | http://hdl.handle.net/11427/4869 |
| work_keys_str_mv | AT brownbrucejl avariationalapproachtolocaloptimalityincontroltheory AT brownbrucejl variationalapproachtolocaloptimalityincontroltheory |