Numerical solution methods for singular control with multiple state dependent forms
We use several recently developed techniques along with two established optimal control softwares to solve a variation of a widely studied singular optimal control problem. The problem displays some interesting features from both the analytical and numerical point of view. In particular, we show tha...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Taylor and Francis
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/33233 |
| _version_ | 1848753888215171072 |
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| author | Vossen, G. Rehbock, Volker Siburian, A. |
| author_facet | Vossen, G. Rehbock, Volker Siburian, A. |
| author_sort | Vossen, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We use several recently developed techniques along with two established optimal control softwares to solve a variation of a widely studied singular optimal control problem. The problem displays some interesting features from both the analytical and numerical point of view. In particular, we show that, during singular arcs, the optimal control takes on one of two distinct state dependent forms. We also demonstrate how the numerical solution methods can easily get trapped in what may appear to be local optima when applied to this problem. |
| first_indexed | 2025-11-14T08:31:40Z |
| format | Journal Article |
| id | curtin-20.500.11937-33233 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:31:40Z |
| publishDate | 2007 |
| publisher | Taylor and Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-332332017-09-13T16:08:47Z Numerical solution methods for singular control with multiple state dependent forms Vossen, G. Rehbock, Volker Siburian, A. We use several recently developed techniques along with two established optimal control softwares to solve a variation of a widely studied singular optimal control problem. The problem displays some interesting features from both the analytical and numerical point of view. In particular, we show that, during singular arcs, the optimal control takes on one of two distinct state dependent forms. We also demonstrate how the numerical solution methods can easily get trapped in what may appear to be local optima when applied to this problem. 2007 Journal Article http://hdl.handle.net/20.500.11937/33233 10.1080/10556780600802924 Taylor and Francis restricted |
| spellingShingle | Vossen, G. Rehbock, Volker Siburian, A. Numerical solution methods for singular control with multiple state dependent forms |
| title | Numerical solution methods for singular control with multiple state dependent forms |
| title_full | Numerical solution methods for singular control with multiple state dependent forms |
| title_fullStr | Numerical solution methods for singular control with multiple state dependent forms |
| title_full_unstemmed | Numerical solution methods for singular control with multiple state dependent forms |
| title_short | Numerical solution methods for singular control with multiple state dependent forms |
| title_sort | numerical solution methods for singular control with multiple state dependent forms |
| url | http://hdl.handle.net/20.500.11937/33233 |