Boundary controllability and observability of coupled wave equations with memory

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dc.contributor.authorXiao, Ti-Jun
dc.contributor.authorXu, Zhe
dc.date.accessioned2022-03-10T14:33:22Z
dc.date.available2022-03-10T14:33:22Z
dc.date.issued2018-11-05
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXiao, T. J., & Xu, Z. (2018). Boundary controllability and observability of coupled wave equations with memory. <i>Electronic Journal of Differential Equations, 2018</i>(180), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15476
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBoundary controllability
dc.subjectCoupled system
dc.subjectMemory
dc.subjectMoment problem
dc.subjectRiesz property
dc.subjectBoundary observability
dc.titleBoundary controllability and observability of coupled wave equations with memory
dc.typeArticle

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