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arXiv · 1405.1840

Linear wave systems on $n$-D spatial domains

Mikael Kurula·Hans Zwart
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Abstract

In this paper we study the linear wave equation on an $n$-dimensional spatial domain. We show that there is a boundary triplet associated to the undamped wave equation. This enables us to characterise all boundary conditions for which the undamped wave equation possesses a unique solution non-increasing in the energy. Furthermore, we add boundary inputs and outputs to the system, thus turning it into an impedance conservative boundary control system.

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Mikael Kurula, Hans Zwart. 2014-11-26. Linear wave systems on $n$-D spatial domains. https://doi.org/10.1080/00207179.2014.993337

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