From the 1 of 8 linked papers with an AI index.
6 papers · 1 filter
Contour integral methods and structured perturbations for linear differential-algebraic equations
Nicola Guglielmi, Mattia Manucci
The paper extends contour integral methods to solve linear differential-algebraic equations by using Laplace transforms and quadrature for time integration, and introduces a strate…
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…
Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix
Mattia Manucci, Emre Mengi, Nicola Guglielmi
We consider the uniform approximation of the smallest eigenvalue of a large parameter-dependent Hermitian matrix by that of a smaller counterpart obtained through projections. The…
Certified Model Order Reduction for parametric Hermitian eigenproblems
Mattia Manucci, Benjamin Stamm, Zhuoyao Zeng
This article deals with the efficient and certified numerical approximation of the smallest eigenvalue and the associated eigenspace of a large-scale parametric Hermitian matrix. F…
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…
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…