On a class of block operator matrices in system theory
Functional Analysis
2015-02-20 v1 Optimization and Control
Abstract
We consider a class of block operator matrices arising in the study of scattering passive systems, especially in the context of boundary control problems. We prove that these block operator matrices are indeed a subclass of block operator matrices considered in [Trostorff: A characterization of boundary conditions yielding maximal monotone operators. J. Funct. Anal., 267(8): 2787--2822, 2014], which can be characterized in terms of an associated boundary relation.
Cite
@article{arxiv.1502.05496,
title = {On a class of block operator matrices in system theory},
author = {Sascha Trostorff},
journal= {arXiv preprint arXiv:1502.05496},
year = {2015}
}