most citedBalancing-based model reduction for switched descriptor systems

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.OC2026

Estimation of the input-to-state stability gain functions from finite-dimensional approximations

Birgit Hillebrecht, Benjamin Unger

Since the concept of input-to-state stability (ISS) was introduced, it has been extensively investigated for finite-dimensional control systems and has recently received attention…

math.NA2026

Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations

Mattia Manucci, Benjamin Unger

In this work, we study projection-based model order reduction (MOR) for switched linear systems (SLS) in control form, where the projection matrices are obtained from the solutions…

math.OC2024

Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction

Michael Kartmann, Mattia Manucci, Benjamin Unger +1

We present a model predictive control (MPC) framework for linear switched evolution equations arising from a parabolic partial differential equation (PDE). First-order optimality c…

math.NA2024

Reachable and observable sets for switched systems via generalized Lyapunov equations: application to switched descriptor systems

Mattia Manucci, Benjamin Unger

In a recent work [Manucci, Unger, ArXiv e-print 2404.10511, 2024], the authors propose using two generalized Lyapunov equations (GLEs) to derive a balancing-based model order reduc…

math.NA2024★ 1 cited

Balancing-based model reduction for switched descriptor systems

Mattia Manucci, Benjamin Unger

We propose a novel projection-based model order reduction (MOR) algorithm for a broad class of switched linear descriptor systems. Our approach integrates the reformulation strateg…