The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods
We employ Legendre-Galerkin spectral methods to solve state-constrained optimal control problems. The constraint on the state variable is an integration form. We choose one-dimensional case to illustrate the techniques. Meanwhile, we investigate the explicit formulae of constants within a posteriori...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/946026 |
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| _version_ | 1832548034431418368 |
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| author | Jianwei Zhou |
| author_facet | Jianwei Zhou |
| author_sort | Jianwei Zhou |
| collection | DOAJ |
| description | We employ Legendre-Galerkin spectral methods to solve
state-constrained optimal control problems. The constraint on the
state variable is an integration form. We choose one-dimensional
case to illustrate the techniques. Meanwhile, we investigate the
explicit formulae of constants within a posteriori error indicator. |
| format | Article |
| id | doaj-art-12517ff8188546d59cbaea3bc9f0f5ca |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-12517ff8188546d59cbaea3bc9f0f5ca2025-02-03T06:42:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/946026946026The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral MethodsJianwei Zhou0Department of Mathematics, Linyi University, Shandong, ChinaWe employ Legendre-Galerkin spectral methods to solve state-constrained optimal control problems. The constraint on the state variable is an integration form. We choose one-dimensional case to illustrate the techniques. Meanwhile, we investigate the explicit formulae of constants within a posteriori error indicator.http://dx.doi.org/10.1155/2014/946026 |
| spellingShingle | Jianwei Zhou The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods Abstract and Applied Analysis |
| title | The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods |
| title_full | The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods |
| title_fullStr | The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods |
| title_full_unstemmed | The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods |
| title_short | The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods |
| title_sort | constants in a posteriori error indicator for state constrained optimal control problems with spectral methods |
| url | http://dx.doi.org/10.1155/2014/946026 |
| work_keys_str_mv | AT jianweizhou theconstantsinaposteriorierrorindicatorforstateconstrainedoptimalcontrolproblemswithspectralmethods AT jianweizhou constantsinaposteriorierrorindicatorforstateconstrainedoptimalcontrolproblemswithspectralmethods |