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arXiv · 1502.05496

On a class of block operator matrices in system theory

Sascha Trostorff
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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.

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Sascha Trostorff. 2015-02-19. On a class of block operator matrices in system theory. https://arxiv.org/abs/1502.05496

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