A Matlab Toolbox for the Regularization of Descriptor Systems Arising from Generalized Realization Procedures

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Author(s) : Amelie Binder , Volker Mehrmann , Agnieszka Miedlar , Philipp Schulze

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 24-2015

MSC 2000

93B15 Realizations from input-output data
65F22 Ill-posedness, regularization

Abstract :
In this report we introduce a Matlab toolbox for the regularization of descriptor systems. We apply it, in particular, for systems resulting from the generalized realization procedure of [16], which generates, via rational interpolation techniques, a linear descriptor system from interpolation data. The resulting system needs to be regularized to make it feasible for the use in simulation, optimization, and control. This process is called regularization.

Keywords : Regularization, Descriptor Systems, Generalized Realization, Loewner Framework, Matlab Toolbox