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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.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
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…