Boundary controllability and observability of coupled wave equations with memory
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Date
2018-11-05
Authors
Xiao, Ti-Jun
Xu, Zhe
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Boundary controllability, Coupled system, Memory, Moment problem, Riesz property, Boundary observability
Citation
Xiao, T. J., & Xu, Z. (2018). Boundary controllability and observability of coupled wave equations with memory. Electronic Journal of Differential Equations, 2018(180), pp. 1-18.
Rights
Attribution 4.0 International