Interior point control and observation for the wave equation
This paper is concerned with the approximate and exact controllability properties of the wave equation with interior point controls entering via the concentrated force, the velocity of the displacement and the moment. The emphasis is given to the moving point controls and their dual...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1085337596000115 |
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| _version_ | 1832556305637703680 |
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| author | A. Y. Khapalov |
| author_facet | A. Y. Khapalov |
| author_sort | A. Y. Khapalov |
| collection | DOAJ |
| description | This paper is concerned with the approximate and exact controllability
properties of the wave equation with interior point controls entering
via the concentrated force, the velocity of the displacement and the moment.
The emphasis is given to the moving point controls and their dual
observations whose advantages and disadvantages, versus the static ones,
are analyzed with respect to the space dimension, the duration of the
control time interval and the function spaces involved. |
| format | Article |
| id | doaj-art-e753f2a7cb154eca99228d2ca87e1f4d |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e753f2a7cb154eca99228d2ca87e1f4d2025-02-03T05:45:54ZengWileyAbstract and Applied Analysis1085-33751996-01-011221923610.1155/S1085337596000115Interior point control and observation for the wave equationA. Y. Khapalov0Department of Electrical and Computer Engineering, Oregon State University, Corvallis 97331, OR, USAThis paper is concerned with the approximate and exact controllability properties of the wave equation with interior point controls entering via the concentrated force, the velocity of the displacement and the moment. The emphasis is given to the moving point controls and their dual observations whose advantages and disadvantages, versus the static ones, are analyzed with respect to the space dimension, the duration of the control time interval and the function spaces involved.http://dx.doi.org/10.1155/S1085337596000115Wave equationcontrollabilityobservabilitypoint control. |
| spellingShingle | A. Y. Khapalov Interior point control and observation for the wave equation Abstract and Applied Analysis Wave equation controllability observability point control. |
| title | Interior point control and observation for the wave equation |
| title_full | Interior point control and observation for the wave equation |
| title_fullStr | Interior point control and observation for the wave equation |
| title_full_unstemmed | Interior point control and observation for the wave equation |
| title_short | Interior point control and observation for the wave equation |
| title_sort | interior point control and observation for the wave equation |
| topic | Wave equation controllability observability point control. |
| url | http://dx.doi.org/10.1155/S1085337596000115 |
| work_keys_str_mv | AT aykhapalov interiorpointcontrolandobservationforthewaveequation |