15 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 FaÃbender, 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…
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…
-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…
optimal model reduction of linear systems with multiple quadratic outputs
Sean Reiter, Igor Pontes Duff, Ion Victor Gosea +1
In this work, we consider the optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As o…