Boundary controllability and observability of coupled wave equations with memory
In this article we consider the controllability for a system of coupled wave equations with memory. We reduce the control problem to a moment problem which can be solved by showing the Riesz property of the associated families of functions. In that way, we obtain (direct or indirect) boundary ob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2018-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/180/abstr.html |
| _version_ | 1819238528724238336 |
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| author | Ti-Jun Xiao Zhe Xu |
| author_facet | Ti-Jun Xiao Zhe Xu |
| author_sort | Ti-Jun Xiao |
| collection | DOAJ |
| description | In this article we consider the controllability for a system of coupled
wave equations with memory. We reduce the control problem to a moment
problem which can be solved by showing the Riesz property of
the associated families of functions. In that way, we obtain
(direct or indirect) boundary observability inequalities and
boundary controllability of the system. |
| first_indexed | 2024-12-23T13:37:40Z |
| format | Article |
| id | doaj.art-30f95ba2fcf84321a3bdc6a16d5b1fc2 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T13:37:40Z |
| publishDate | 2018-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-30f95ba2fcf84321a3bdc6a16d5b1fc22022-12-21T17:44:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-11-012018180,118Boundary controllability and observability of coupled wave equations with memoryTi-Jun Xiao0Zhe Xu1 Fudan Univ., Shanghai, China Fudan Univ., Shanghai, China In this article we consider the controllability for a system of coupled wave equations with memory. We reduce the control problem to a moment problem which can be solved by showing the Riesz property of the associated families of functions. In that way, we obtain (direct or indirect) boundary observability inequalities and boundary controllability of the system.http://ejde.math.txstate.edu/Volumes/2018/180/abstr.htmlBoundary controllabilitycoupled system memorymoment problemRiesz propertyboundary observability |
| spellingShingle | Ti-Jun Xiao Zhe Xu Boundary controllability and observability of coupled wave equations with memory Electronic Journal of Differential Equations Boundary controllability coupled system memory moment problem Riesz property boundary observability |
| title | Boundary controllability and observability of coupled wave equations with memory |
| title_full | Boundary controllability and observability of coupled wave equations with memory |
| title_fullStr | Boundary controllability and observability of coupled wave equations with memory |
| title_full_unstemmed | Boundary controllability and observability of coupled wave equations with memory |
| title_short | Boundary controllability and observability of coupled wave equations with memory |
| title_sort | boundary controllability and observability of coupled wave equations with memory |
| topic | Boundary controllability coupled system memory moment problem Riesz property boundary observability |
| url | http://ejde.math.txstate.edu/Volumes/2018/180/abstr.html |
| work_keys_str_mv | AT tijunxiao boundarycontrollabilityandobservabilityofcoupledwaveequationswithmemory AT zhexu boundarycontrollabilityandobservabilityofcoupledwaveequationswithmemory |