Linear wave systems on $n$-D spatial domains
Optimization and Control
2015-11-09 v2 Analysis of PDEs
Abstract
In this paper we study the linear wave equation on an -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.
Cite
@article{arxiv.1405.1840,
title = {Linear wave systems on $n$-D spatial domains},
author = {Mikael Kurula and Hans Zwart},
journal= {arXiv preprint arXiv:1405.1840},
year = {2015}
}
Comments
30 pages