Existence for calculus of variations and optimal control problems on time scales
In this paper we prove the existence for optimal control problems with terminal constraints on time scales. A definition of the solution of semi-linear control systems involving Sobolev space W1;2T is proposed and new existence and uniqueness results of this kind of dynamic systems on time scales ar...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
ICIC International
2012
|
| Subjects: | |
| Online Access: | http://www.ijicic.org/icoco2010-06.pdf http://hdl.handle.net/20.500.11937/31815 |
| _version_ | 1848753488232710144 |
|---|---|
| author | Zhan, Zaidong Wei, Wei Li, Yinfei Xu, Honglei |
| author_facet | Zhan, Zaidong Wei, Wei Li, Yinfei Xu, Honglei |
| author_sort | Zhan, Zaidong |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we prove the existence for optimal control problems with terminal constraints on time scales. A definition of the solution of semi-linear control systems involving Sobolev space W1;2T is proposed and new existence and uniqueness results of this kind of dynamic systems on time scales are presented under a weaker assumption. According to L2T strong-weak lower semi-continuity of integral functionals, we establish the existence of optimal controls. In particular, the existence for calculus of variations on time scales is derived. |
| first_indexed | 2025-11-14T08:25:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-31815 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:25:19Z |
| publishDate | 2012 |
| publisher | ICIC International |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-318152017-07-06T04:11:15Z Existence for calculus of variations and optimal control problems on time scales Zhan, Zaidong Wei, Wei Li, Yinfei Xu, Honglei Existence and uniqueness of solutions of control systems Time scales Calculus - of variations Optimal control In this paper we prove the existence for optimal control problems with terminal constraints on time scales. A definition of the solution of semi-linear control systems involving Sobolev space W1;2T is proposed and new existence and uniqueness results of this kind of dynamic systems on time scales are presented under a weaker assumption. According to L2T strong-weak lower semi-continuity of integral functionals, we establish the existence of optimal controls. In particular, the existence for calculus of variations on time scales is derived. 2012 Journal Article http://hdl.handle.net/20.500.11937/31815 http://www.ijicic.org/icoco2010-06.pdf ICIC International restricted |
| spellingShingle | Existence and uniqueness of solutions of control systems Time scales Calculus - of variations Optimal control Zhan, Zaidong Wei, Wei Li, Yinfei Xu, Honglei Existence for calculus of variations and optimal control problems on time scales |
| title | Existence for calculus of variations and optimal control problems on time scales |
| title_full | Existence for calculus of variations and optimal control problems on time scales |
| title_fullStr | Existence for calculus of variations and optimal control problems on time scales |
| title_full_unstemmed | Existence for calculus of variations and optimal control problems on time scales |
| title_short | Existence for calculus of variations and optimal control problems on time scales |
| title_sort | existence for calculus of variations and optimal control problems on time scales |
| topic | Existence and uniqueness of solutions of control systems Time scales Calculus - of variations Optimal control |
| url | http://www.ijicic.org/icoco2010-06.pdf http://hdl.handle.net/20.500.11937/31815 |