3 papers
math.OC2026
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.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.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…