14 citations · 27 across the 12 of their papers we have counts for
13 papers
Pattern preservation in finite to infinite-horizon optimal control problems for dissipative systems
Matteo Della Rossa, Thiago Alves Lima, Lorenzo Freddi
This paper focuses on infinite-horizon optimal control problems for dissipative systems and the relations to their finite-horizon formulations. We show that, for a large class of p…
On Zermelo's planar navigation problem for convex bodies, and implications for non-convex optimal routing
Matteo Della Rossa, Lorenzo Freddi, Mattia Pinatto
We study a generalized version of Zermelo's navigation problem where the set of admissible velocities is a general compact convex set, replacing the classical Euclidean ball. After…
Pattern-preserving optimal control problems with increasing time horizon
Matteo Della Rossa, Lorenzo Freddi
We establish a general framework that guarantees the preservation of optimal control patterns as the time horizon increases and becomes unbounded. A concept of pattern-pres…
Optimality of vaccination for an SIR epidemic with an ICU constraint
Matteo Della Rossa, Lorenzo Freddi, Dan Goreac
This paper studies an optimal control problem for a class of SIR epidemic models, in scenarios in which the infected population is constrained to be lower than a critical threshold…
Viability and control of a delayed SIR epidemic with an ICU state constraint
Dimitri Breda, Matteo Della Rossa, Lorenzo Freddi
This paper studies viability and control synthesis for a delayed SIR epidemic. The model integrates a constant delay representing an incubation/latency time. The control inputs mod…
Infinite horizon optimal control of a SIR epidemic under an ICU constraint
Lorenzo Freddi, Dan Goreac
The aim of this paper is to provide a rigorous mathematical analysis of an optimal control problem of a SIR epidemic on an infinite horizon. A state constraint related to intensive…
Stability of boundary conditions for the Sadowsky functional
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
It has been proved by the authors that the (extended) Sadowsky functional can be deduced as the Gamma-limit of the Kirchhoff energy on a rectangular strip of height ,…
SIR Epidemics With State-Dependent Costs and ICU Constraints: A Hamilton-Jacobi Verification Argument and Dual LP Algorithms
Lorenzo Freddi, Dan Goreac, Juan Li +1
The aim of this paper is twofold. On one hand, we strive to give a simpler proof of the optimality of greedy controls when the cost of interventions is control-affine and the dynam…
Optimal Control of a SIR Epidemic With ICU Constraints and Target Objectives
Florin Avram, Lorenzo Freddi, Dan Goreac
The aim of this paper is to provide a rigorous mathematical analysis of an optimal control problem with SIR dynamics. The main feature of our study is the presence of state constra…
Optimal control of the transmission rate in compartmental epidemics
Lorenzo Freddi
We introduce a general system of ordinary differential equations that includes some classical and recent models for the epidemic spread in a closed population without vital dynamic…
Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded
V. Ambrosio, L. Freddi, R. Musina
In this paper we analyze the asymptotic behavior of the Dirichlet fractional Laplacian , with , on bounded domains in tha…
One-dimensional von Kármán models for elastic ribbons
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
By means of a variational approach we rigorously deduce three one-dimensional models for elastic ribbons from the theory of von Kármán plates, passing to the limit as the width of…
A variational model for anisotropic and naturally twisted ribbons
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
We consider thin plates whose energy density is a quadratic function of the difference between the second fundamental form of the deformed configuration and a "natural" curvature t…