Boundary controllability and observability of coupled wave equations with memory

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. <i>Electronic Journal of Differential Equations, 2018</i>(180), pp. 1-18.

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Attribution 4.0 International

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