From the 1 of 6 linked papers with an AI index.
6 papers
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…
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…
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…
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…