Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces
<p>Abstract</p> <p>The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By virtue of the properties of the family of solution oper...
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2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/385324 |
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doaj-ffcf65a8cc5446248f708101c1ad84492020-11-25T02:43:10ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111385324Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach SpacesZhou YongWang JinRong<p>Abstract</p> <p>The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By virtue of the properties of the family of solution operators given by us, the existence of optimal controls for Meyer problem is proved. Secondly, we construct a sequence of Meyer problems to successive approximation of the original time optimal control problem. Finally, a new approximation process is established to find the solution of time optimal control problem. Our method is different from the standard method.</p>http://www.advancesindifferenceequations.com/content/2011/385324 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhou Yong Wang JinRong |
| spellingShingle |
Zhou Yong Wang JinRong Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces Advances in Difference Equations |
| author_facet |
Zhou Yong Wang JinRong |
| author_sort |
Zhou Yong |
| title |
Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces |
| title_short |
Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces |
| title_full |
Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces |
| title_fullStr |
Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces |
| title_full_unstemmed |
Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces |
| title_sort |
study of an approximation process of time optimal control for fractional evolution systems in banach spaces |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2011-01-01 |
| description |
<p>Abstract</p> <p>The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By virtue of the properties of the family of solution operators given by us, the existence of optimal controls for Meyer problem is proved. Secondly, we construct a sequence of Meyer problems to successive approximation of the original time optimal control problem. Finally, a new approximation process is established to find the solution of time optimal control problem. Our method is different from the standard method.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2011/385324 |
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AT zhouyong studyofanapproximationprocessoftimeoptimalcontrolforfractionalevolutionsystemsinbanachspaces AT wangjinrong studyofanapproximationprocessoftimeoptimalcontrolforfractionalevolutionsystemsinbanachspaces |
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