324 citations · 1.3k across the 70 of their papers we have counts for
7 papers · 1 filter
Data-driven Structured Realization
Philipp Schulze, Benjamin Unger, Christopher Beattie +1
We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form where $h_1,h_2,\…
Interpolatory methods for model reduction of multi-input/multi-output systems
Alessandro Castagnotto, Christopher Beattie, Serkan Gugercin
We develop here a computationally effective approach for producing high-quality -approximations to large scale linear dynamical systems having multiple inputs a…
-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
Peter Benner, Pawan Goyal, Serkan Gugercin
We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analy…
Model Reduction for Systems with Inhomogeneous Initial Conditions
Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann
We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation t…
Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
Meghan O'Connell, Misha E. Kilmer, Eric de Sturler +1
In nonlinear imaging problems whose forward model is described by a partial differential equation (PDE), the main computational bottleneck in solving the inverse problem is the nee…
Structure-preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
Saifon Chaturantabut, Chris Beattie, Serkan Gugercin
This paper presents a structure-preserving model reduction approach applicable to large-scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step ensu…