22 citations · 28 across the 12 of their papers we have counts for
10 papers · 1 filter
Data-driven balancing of linear dynamical systems
Ion Victor Gosea, Serkan Gugercin, Christopher Beattie
We present a novel reformulation of balanced truncation, a classical model reduction method. The principal innovation that we introduce comes through the use of system response dat…
Parametric model reduction via rational interpolation along parameters
Ion Victor Gosea, Serkan Gugercin, Benjamin Unger
We present a novel projection-based model reduction framework for parametric linear time-invariant systems that allows interpolating the transfer function at a given frequency poin…
Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework
Ion Victor Gosea, Serkan Gugercin
We extend the AAA (Adaptive-Antoulas-Anderson) algorithm to develop a data-driven modeling framework for linear systems with quadratic output (LQO). Such systems are characterized…
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach
Michael C. Brennan, Mark Embree, Serkan Gugercin
Contour integral methods for nonlinear eigenvalue problems seek to compute a subset of the spectrum in a bounded region of the complex plane. We briefly survey this class of algori…
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Selin Aslan, Eric de Sturler, Serkan Gugercin
Nonlinear parametric inverse problems appear in many applications. Here, we focus on diffuse optical tomography (DOT) in medical imaging to recover unknown images of interest, such…
The AAA framework for modeling linear dynamical systems with quadratic output
Ion Victor Gosea, Serkan Gugercin
We consider linear dynamical systems with quadratic output. We first define the two transfer functions, a single-variable and a multivariate one, that fully describe the dynamics o…