Approximate controllability of fractional control systems with time delay using the sequence method
The aim of this article is to establish sufficient conditions for the approximate controllability of fractional control systems with time delay in Hilbert spaces. By the technique of sequential approach, we prove that the fractional control systems with time delay are approximately controllab...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/272/abstr.html |
| _version_ | 1819058291137839104 |
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| author | Xiuwen Li Zhenhai Liu Christopher C. Tisdell |
| author_facet | Xiuwen Li Zhenhai Liu Christopher C. Tisdell |
| author_sort | Xiuwen Li |
| collection | DOAJ |
| description | The aim of this article is to establish sufficient conditions for the
approximate controllability of fractional control systems with time delay
in Hilbert spaces. By the technique of sequential approach, we prove that
the fractional control systems with time delay are approximately controllable.
Finally, an example is provided to illustrate our main results. |
| first_indexed | 2024-12-21T13:52:52Z |
| format | Article |
| id | doaj.art-d04a8633cce545ce87628a1fbec2ef2b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-21T13:52:52Z |
| publishDate | 2017-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d04a8633cce545ce87628a1fbec2ef2b2022-12-21T19:01:38ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-11-012017272,111Approximate controllability of fractional control systems with time delay using the sequence methodXiuwen Li0Zhenhai Liu1Christopher C. Tisdell2 Nanjing Univ. of Sciences and Tech., Jiangsu, China Nanjing Univ. of Sciences and Tech., Jiangsu, China The Univ. of New South Wales, Sydney, Australia The aim of this article is to establish sufficient conditions for the approximate controllability of fractional control systems with time delay in Hilbert spaces. By the technique of sequential approach, we prove that the fractional control systems with time delay are approximately controllable. Finally, an example is provided to illustrate our main results.http://ejde.math.txstate.edu/Volumes/2017/272/abstr.htmlApproximate controllabilityfractional control systemstime delaysequential approach |
| spellingShingle | Xiuwen Li Zhenhai Liu Christopher C. Tisdell Approximate controllability of fractional control systems with time delay using the sequence method Electronic Journal of Differential Equations Approximate controllability fractional control systems time delay sequential approach |
| title | Approximate controllability of fractional control systems with time delay using the sequence method |
| title_full | Approximate controllability of fractional control systems with time delay using the sequence method |
| title_fullStr | Approximate controllability of fractional control systems with time delay using the sequence method |
| title_full_unstemmed | Approximate controllability of fractional control systems with time delay using the sequence method |
| title_short | Approximate controllability of fractional control systems with time delay using the sequence method |
| title_sort | approximate controllability of fractional control systems with time delay using the sequence method |
| topic | Approximate controllability fractional control systems time delay sequential approach |
| url | http://ejde.math.txstate.edu/Volumes/2017/272/abstr.html |
| work_keys_str_mv | AT xiuwenli approximatecontrollabilityoffractionalcontrolsystemswithtimedelayusingthesequencemethod AT zhenhailiu approximatecontrollabilityoffractionalcontrolsystemswithtimedelayusingthesequencemethod AT christopherctisdell approximatecontrollabilityoffractionalcontrolsystemswithtimedelayusingthesequencemethod |