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508 papers
Markov Chain Approximation of Sticky Diffusions and Hamilton-Jacobi-Bellman Equations on Networks
Alessio Basti, Jules Berry, Fabio Camilli
We propose a discrete Markov-chain approximation of diffusion processes on networks with both Kirchhoff and sticky vertex conditions. Stickiness is modeled by a probabilistic resid…
Finite-Time Stabilization of Linear Systems via Optimal Control
Weihao Weng, Yacine Chitour, Paolo Mason
This paper presents an optimal control framework for achieving finite-time stabilization of linear systems. By introducing a suitably constructed integral cost function, we derive…
Stabilization of 1D Linear Hyperbolic Balance Laws by Integral Difference Control and Application to Networks Stabilization
Adam Braun, Jean Auriol, Lucas Brivadis
This paper develops a unified method for the exponential stabilization of first-order linear hyperbolic balance laws under general actuation, including both underactuated boundary…
A Real-Time Generalized Nash Equilibrium Framework for Interaction-Aware Autonomous Driving in Mixed Traffic
Nouhed Naidja, Mohamed-Cherif Rahal, Steve Pechberti +3
Safe and efficient navigation in mixed-traffic environments remains a critical challenge for Autonomous Vehicles (AVs), primarily due to the complex interdependence between the AV'…
Fast and Robust Convergence Rate for TD(0) with Linear Function Approximation, Universal Learning Steps and I.I.D. Samples
Ziad Kobeissi, Éloïse Berthier
In this paper, we study the finite-time behavior of the TD(0) temporal-difference method with linear function approximation (LFA). We consider on-policy independent and identically…
Feedback Stabilization of Switched Systems: Memory is not needed
Thiago Alves Lima, Matteo Della Rossa, Antoine Girard
A long-standing assumption in the literature on switched linear systems is that static, homogeneous of degree one feedbacks form the most general class of controllers necessary and…