Analysis of optimal boundary control for a three-dimensional reaction-diffusion system
This paper is concerned with optimal boundary control of a three dimensional reaction-diffusion system in a more general form than what has been presented in the literature. The state equations are analyzed and the optimal control problem is investigated. Necessary and sufficient optimality conditio...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/60024 |
| _version_ | 1848760573981884416 |
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| author | Yang, W. Sun, Jie Zhang, S. |
| author_facet | Yang, W. Sun, Jie Zhang, S. |
| author_sort | Yang, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with optimal boundary control of a three dimensional reaction-diffusion system in a more general form than what has been presented in the literature. The state equations are analyzed and the optimal control problem is investigated. Necessary and sufficient optimality conditions are derived. The model is widely applicable due to its generality. Some examples in applications are discussed. |
| first_indexed | 2025-11-14T10:17:56Z |
| format | Journal Article |
| id | curtin-20.500.11937-60024 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:17:56Z |
| publishDate | 2017 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-600242018-10-03T05:14:28Z Analysis of optimal boundary control for a three-dimensional reaction-diffusion system Yang, W. Sun, Jie Zhang, S. This paper is concerned with optimal boundary control of a three dimensional reaction-diffusion system in a more general form than what has been presented in the literature. The state equations are analyzed and the optimal control problem is investigated. Necessary and sufficient optimality conditions are derived. The model is widely applicable due to its generality. Some examples in applications are discussed. 2017 Journal Article http://hdl.handle.net/20.500.11937/60024 10.3934/naco.2017021 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Yang, W. Sun, Jie Zhang, S. Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title | Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title_full | Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title_fullStr | Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title_full_unstemmed | Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title_short | Analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| title_sort | analysis of optimal boundary control for a three-dimensional reaction-diffusion system |
| url | http://hdl.handle.net/20.500.11937/60024 |