Exact Null Controllability of String Equations with Neumann Boundaries
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/8890544 |
| _version_ | 1797339197398319104 |
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| author | Lizhi Cui Jing Lu |
| author_facet | Lizhi Cui Jing Lu |
| author_sort | Lizhi Cui |
| collection | DOAJ |
| description | This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the characteristic speed, we can obtain the exact null controllability of this equation by using the Hilbert uniqueness method. In addition, we get a sharper estimate on controllability time that depends on the speed of the moving endpoint. |
| first_indexed | 2024-03-08T09:42:28Z |
| format | Article |
| id | doaj.art-21f693d9dabf4ac5b1b8aa166e53c6b7 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-03-08T09:42:28Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-21f693d9dabf4ac5b1b8aa166e53c6b72024-01-30T00:01:44ZengHindawi LimitedJournal of Mathematics2314-47852024-01-01202410.1155/2024/8890544Exact Null Controllability of String Equations with Neumann BoundariesLizhi Cui0Jing Lu1College of Applied MathematicsCollege of Applied MathematicsThis article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the characteristic speed, we can obtain the exact null controllability of this equation by using the Hilbert uniqueness method. In addition, we get a sharper estimate on controllability time that depends on the speed of the moving endpoint.http://dx.doi.org/10.1155/2024/8890544 |
| spellingShingle | Lizhi Cui Jing Lu Exact Null Controllability of String Equations with Neumann Boundaries Journal of Mathematics |
| title | Exact Null Controllability of String Equations with Neumann Boundaries |
| title_full | Exact Null Controllability of String Equations with Neumann Boundaries |
| title_fullStr | Exact Null Controllability of String Equations with Neumann Boundaries |
| title_full_unstemmed | Exact Null Controllability of String Equations with Neumann Boundaries |
| title_short | Exact Null Controllability of String Equations with Neumann Boundaries |
| title_sort | exact null controllability of string equations with neumann boundaries |
| url | http://dx.doi.org/10.1155/2024/8890544 |
| work_keys_str_mv | AT lizhicui exactnullcontrollabilityofstringequationswithneumannboundaries AT jinglu exactnullcontrollabilityofstringequationswithneumannboundaries |