activity
20202026
most citedBalancing-based model reduction for switched descriptor systems

1 citations · 1 across the 9 of their papers we have counts for

collaborators

11 papers

math.OC2026

Contour integral methods and model order reduction for parametric linear control systems

Serkan Gugercin, Mattia Manucci

This paper introduces a contour integral method (CIM) for efficiently computing outputs of parametric linear systems in control form over specified time intervals and to a user-pre…

math.NA2026

Contour integral methods and structured perturbations for linear differential-algebraic equations

Nicola Guglielmi, Mattia Manucci

We generalize the contour integral methods (CIM) framework to the time integration of linear dynamical systems that are subject to algebraic constraints at all times during their e…

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.NA2025

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…

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

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…

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…

math.NA2022

Model order reduction in contour integral methods for parametric PDEs

Nicola Guglielmi, Mattia Manucci

In this paper we discuss a projection model order reduction (MOR) method for a class of parametric linear evolution PDEs, which is based on the application of the Laplace transform…

math.NA2020

Pseudospectral roaming contour integral methods for convection-diffusion equations

Nicola Guglielmi, Maria López-Fernández, Mattia Manucci

We generalize ideas in the recent literature and develop new ones in order to propose a general class of contour integral methods for linear convection-diffusion PDEs and in partic…

math.NA2020

Sparse data-driven quadrature rules via -quasi-norm minimization

Mattia Manucci, Jose Vicente Aguado, Domenico Borzacchiello

In this paper we show the use of the focal underdetermined system solver to recover sparse empirical quadrature rules for parametrized integrals from existing data, consisting of t…