5 papers
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(…