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arXiv · 1307.7408

De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane

Joseph A. Ball·Mikael Kurula·Olof J. Staffans·Hans Zwart
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Abstract

We give a controllable energy-preserving and an observable co-energy-preserving de Branges-Rovnyak functional model realization of an arbitrary given operator Schur function defined on the complex right-half plane. We work the theory out fully in the right-half plane, without using results for the disk case, in order to expose the technical details of continuous-time systems theory. At the end of the article, we make explicit the connection to the corresponding classical de Branges-Rovnyak realizations for Schur functions on the complex unit disk.

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Joseph A. Ball, Mikael Kurula, Olof J. Staffans, Hans Zwart. 2014-01-14. De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane. https://doi.org/10.1007/s11785-014-0358-2

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