324 citations · 1.3k across the 70 of their papers we have counts for
4 papers · 2 filters
Data-driven balanced truncation for linear systems with quadratic outputs
Reetish Padhi, Ion Victor Gosea, Igor Pontes Duff +1
We develop the framework for a non-intrusive, quadrature-based method for approximate balanced truncation (QuadBT) of linear systems with quadratic outputs, thus extending the appl…
Bilinear Quadratic Output Systems and Balanced Truncation
Heike Faßbender, Serkan Gugercin, Till Peters
Dynamical systems with quadratic outputs have recently attracted significant attention. In this paper, we consider bilinear dynamical systems, a special class of weakly nonlinear s…
Second-order AAA algorithms for structured data-driven modeling
Michael S. Ackermann, Ion Victor Gosea, Serkan Gugercin +1
The data-driven modeling of dynamical systems has become an essential tool for the construction of accurate computational models from real-world data. In this process, the inherent…
-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
Sean Reiter, Ion Victor Gosea, Igor Pontes Duff +1
This paper addresses the -optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major…