324 citations · 1.3k across the 70 of their papers we have counts for
80 papers
Beyond linear subspaces: Nonlinear moment matching meets quadratic manifolds
Reetish Padhi, Serkan Gugercin
Quadratic manifold-based model order reduction offers a viable pathway to circumvent the limitations of linear subspaces for linear control systems characterized by slow Kolmogorov…
Contour integral methods and model order reduction for parametric linear control systems
Serkan Gugercin, Mattia Manucci
This paper introduces a contour integral method (CIM) for efficiently computing outputs of parametric linear systems in control form over specified time intervals and to a user-pre…
Bilinear Systems with Quadratic Outputs: Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions
Heike Faßbender, Serkan Gugercin, Till Peters
Bilinear systems with quadratic outputs (BQO) have recently emerged as an important system class, arising naturally in applications where both the dynamics and the quantities of in…
From Interpolation to Optimality: Model Reduction for Infinite-Dimensional Linear Control Systems
Cankat Tilki, Tobias Breiten, Serkan Gugercin
We develop the interpolatory optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically…
Interpolatory Approximations of PMU Data: Dimension Reduction and Pilot Selection
Sean Reiter, Mark Embree, Serkan Gugercin +1
This work investigates the reduction of phasor measurement unit (PMU) data through low-rank matrix approximations. To reconstruct a PMU data matrix from fewer measurements, we prop…
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…