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Given two distinct subsets $A,B$ in the state space of some dynamical system, Transition Path Theory (TPT) was successfully used to describe the statistical behavior of transitions from $A$ to $B$ in the ergodic limit of the stationary…

Dynamical Systems · Mathematics 2020-11-03 Luzie Helfmann , Enric Ribera Borrell , Christof Schütte , Péter Koltai

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

Other Condensed Matter · Physics 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

We present a flow-control technique in traffic-light intersections, aiming at regulating queue lengths to given reference setpoints. The technique is based on multivariable integrators with adaptive gains, computed at each control cycle by…

Optimization and Control · Mathematics 2015-07-29 Carla Seatzu , Yorai Wardi

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that ensure closed-loop performance bounds and boundedness of the…

Optimization and Control · Mathematics 2020-04-07 Diego Muñoz-Carpintero , Mark Cannon

With the increasing ubiquity of networked control systems, various strategies for sampling constituent subsystems' outputs have emerged. In contrast with periodic sampling, event-triggered control provides a way to efficiently sample a…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Daniel A. Williams , Airlie Chapman , Chris Manzie

We study the Traffic Light Control (TLC) problem for a traffic network with multiple intersections in an artery, including the effect of transit delays for vehicles moving from one intersection to the next. The goal is to minimize the…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yingqing Chen , Christos G. Cassandras

Macroscopic traffic flow models are essential for analysing traffic dynamics in highways and urban roads. While second-order models like METANET capture non-equilibrium traffic states, they often produce unrealistic speed predictions, such…

Physics and Society · Physics 2025-03-25 Weiming Zhao , Claudio Roncoli , Mehmet Yildirimoglu

We study the emergence of congestion patterns in urban networks by modeling vehicular interaction by means of a simple traffic rule and by using a set of measures inspired by the standard Betweenness Centrality (BC). We consider a…

Physics and Society · Physics 2022-07-25 Marco Cogoni , Giovanni Busonera , Francesco Versaci

This paper addresses the problem of exponential practical stabilization of linear time-invariant systems with disturbances using event-triggered control and bounded communication bit rate. We consider both the case of instantaneous…

Systems and Control · Computer Science 2015-10-16 Pavankumar Tallapragada , Jorge Cortes

Event-triggered control strategy is capable of significantly reducing the number of control task executions without sacrificing control performance. In this paper, we propose a novel learning-based approach towards an event-triggered model…

Optimization and Control · Mathematics 2024-01-02 Yuga Onoue , Kazumune Hashimoto , Akifumi Wachi

This paper presents a simulation study on turnpike phenomena in stochastic optimal control problems. We employ the framework of Polynomial Chaos Expansions (PCE) to investigate the presence of turnpikes in stochastic LQ problems. Our…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Ruchuan Ou , Michael Heinrich Baumann , Lars Grüne , Timm Faulwasser

This paper presents adaptive event-triggered formation control strategies for autonomous vehicles (AVs) subject to longitudinal and lateral motion uncertainties. The proposed framework explores various vehicular formations to enable safe…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Ziming Wang , Yihuai Zhang , Chenguang Zhao , Huan Yu

This paper is about a real-time model predictive control (MPC) algorithm for large-scale, structured linear systems with polytopic state and control constraints. The proposed controller receives the current state measurement as an input and…

Optimization and Control · Mathematics 2019-03-19 Yuning Jiang , Juraj Oravec , Boris Houska , Michal Kvasnica

Control problems of mixed-autonomy traffic systems that consist of both human-driven vehicles (HV) and autonomous vehicles (AV), have gained increasing attention. This paper focuses on suppressing traffic oscillations in the mixed-autonomy…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Yihuai Zhang , Huan Yu

In this work, we consider the problem of event-triggered implementation of control laws designed for the local stabilization of nonlinear systems with center manifolds. We propose event-triggering conditions which are derived from a local…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Akshit Saradagi , Vijay Muralidharan , Arun D. Mahindrakar , Pavankumar Tallapragada

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Vehicular formation control is an important component of intelligent transportation systems (ITSs). In practical implementations, the controller design needs to satisfy multiple state constraints, including inter-vehicle spacing and vehicle…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Zihan Li , Ziming Wang , Xin Wang

We present an event-triggered boundary control scheme for hyperbolic systems. The trigger condition is based on predictions of the state on determinate sets, where the control input is only updated if the predictions deviate from the…

Optimization and Control · Mathematics 2022-03-18 Timm Strecker , Michael Cantoni , Ole Morten Aamo

Asynchronous decentralized event-triggered control (ADETC) is an implementation of controllers characterized by decentralized event generation, asynchronous sampling updates, and dynamic quantization. Combining those elements in ADETC…

Systems and Control · Computer Science 2017-11-13 Anqi Fu , Manuel Mazo

The totally asymmetric exclusion process (TASEP) with periodic boundaries is considered as traffic flow model. The large-L approximation of the stationary state is used for the derivation of the time-headway distribution (an important…

Statistical Mechanics · Physics 2018-01-08 Pavel Hrabák , Milan Krbálek