10 citations · 28 across the 15 of their papers we have counts for
19 papers
Solution of a system of Hamilton-Jacobi equations on a network
Emily R. Hammett, Maria Teresa Chiri, Kenneth D. Czuprynski +1
We extend the study of Hamilton-Jacobi equations on networks from a single equation to a weakly coupled system of two equations on a star graph, and we develop a numerical scheme f…
Optimal Slicing Problems
Alberto Bressan, Maria Teresa Chiri, Elsa M. Marchini
Given a bounded open set , we consider the problem of slicing this set by a family of curves, whose average length is as small as possible. The first section…
On the Value Function for a Class of Set Motion Problems
Alberto Bressan, Maria Teresa Chiri, Elsa M. Marchini
The paper considers a class of optimal set motion problems, where the control determines the velocity of boundary points in the normal direction. Results and counterexamples are gi…
Optimal Control of Traveler Testing in Epidemic Models
Maria Teresa Chiri, Christopher Denaro, Xiaoqian Gong +1
We propose an optimal control framework for mitigating cross-border epidemic spread through testing of incoming travelers. The general model considers multiple countries with SEIR…
Optimization-based One-side Boundary Control of LWR Traffic Models
Eryn Vaid, Maria Teresa Chiri, Roberto Guglielmi +1
In this paper, we study the feasibility of a class of optimization-based boundary control of one-dimensional macroscopic traffic flow models, where stability and invariance are ach…
Hybrid multi-population traffic flow model: Optimal control for a mean-field limit
Maria Teresa Chiri, Christopher Denaro, Xiaoqian Gong +1
Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle population…
Localmax dynamics for attention in transformers and its asymptotic behavior
Henri Cimetière, Maria Teresa Chiri, Bahman Gharesifard
We introduce a new discrete-time attention model, termed the localmax dynamics, which interpolates between the classic softmax dynamics and the hardmax dynamics, where only the tok…
Boundary Control for Stability and Invariance of Traffic Flow Dynamics: A Convex Optimization Approach
Maria Teresa Chiri, Roberto Guglielmi, Gennaro Notomista
In this letter we propose an optimization-based boundary controller for traffic flow dynamics capable of achieving both stability and invariance conditions. The approach is based o…
A Semidiscrete Lagrangian-Eulerian scheme for the LWR traffic model with discontinuous flux
Eduardo Abreu, Maria Teresa Chiri, Richard De la cruz +2
In this work, we present a semi-discrete scheme to approximate solutions to the scalar LWR traffic model with spatially discontinuous flux, described by the equation $u_t + (k(x)u(…
Traffic Control via Connected and Automated Vehicles: An Open-Road Field Experiment with 100 CAVs
Jonathan W. Lee, Han Wang, Kathy Jang +61
The CIRCLES project aims to reduce instabilities in traffic flow, which are naturally occurring phenomena due to human driving behavior. These "phantom jams" or "stop-and-go waves,…
Weakly coupled systems of eikonal equations for autonomous vehicles
Maria Teresa Chiri, Kenneth D Czuprynski, Ludmil T Zikatanov
In this paper, we study solutions for a weakly coupled system of eikonal equations arising in an optimal path-planning problem with random breakdown. The model considered takes int…
Optimal Solutions for a Class of Set-Valued Evolution Problems
Stefano Bianchini, Alberto Bressan, Maria Teresa Chiri
The paper is concerned with a class of optimization problems for moving sets , motivated by the control of invasive biological populations. Assumin…
Optimal Control of Moving Sets
Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi
Motivated by the control of invasive biological populations, we consider a class of optimization problems for moving sets . Given an initial set $…
On the Optimal Control of Propagation Fronts
Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi
We consider a controlled reaction-diffusion equation, motivated by a pest eradication problem. Our goal is to derive a simpler model, describing the controlled evolution of a conta…
Limitations and Improvements of the Intelligent Driver Model (IDM)
Saleh Albeaik, Alexandre Bayen, Maria Teresa Chiri +7
This contribution analyzes the widely used and well-known "intelligent driver model (briefly IDM), which is a second order car-following model governed by a system of ordinary diff…
On the Regularity of Optimal Dynamic Blocking Strategies
Alberto Bressan, Maria Teresa Chiri
The paper studies a dynamic blocking problem, motivated by a model of optimal fire confinement. While the fire can expand with unit speed in all directions, barriers are constructe…
A posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws
Alberto Bressan, Maria Teresa Chiri, Wen Shen
The paper is concerned with a posteriori error bounds for a wide class of numerical schemes, for hyperbolic conservation laws in one space dimension. These estimates ar…
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point
Fabio Ancona, Maria Teresa Chiri
Consider a scalar conservation law with discontinuous flux \begin{equation*}\tag{1} \quad u_{t}+f(x,u)_{x}=0, \qquad f(x,u)= \begin{cases} f_l(u)\ &\text{if}\ x<0,\\ f_r(u)\ & \tex…
Soil searching by an artificial root
Fabio Ancona, Alberto Bressan, Maria Teresa Chiri
We model an artificial root which grows in the soil for underground prospecting. Its evolution is described by a controlled system of two integro-partial differential equations: on…