4 papers
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…
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…
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…
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…