Ti-Jun Xiao, Zhe Xu
Abstract:
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.
Submitted July 29, 2017. Published November 5, 2018.
Math Subject Classifications: 45K05, 35L35, 93B05, 93B07.
Key Words: Boundary controllability; coupled system; memory;
moment problem; Riesz property; boundary observability.
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| Ti-Jun Xiao Shanghai Key Laboratory for Contemporary Applied Mathematics School of Mathematical Sciences, Fudan University Shanghai 200433, China email: tjxiao@fudan.edu.cn |
| Zhe Xu Shanghai Key Laboratory for Contemporary Applied Mathematics School of Mathematical Sciences, Fudan University Shanghai 200433, China email: 13110180046@fudan.edu.cn |
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