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We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

Robotics · Computer Science 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this question which we reformulate as an optimal control problem.…

Optimization and Control · Mathematics 2023-10-25 Mickael Bestard , Emmanuel Franck , Laurent Navoret , Yannick Privat

This paper investigates a hybrid compositional approach to optimal mission planning for multi-rotor Unmanned Aerial Vehicles (UAVs). We consider a time critical search and rescue scenario with two quadrotors in a constrained environment.…

Robotics · Computer Science 2019-09-20 Usman A. Fiaz , John S. Baras

Traffic regulation must be respected by all vehicles, either human- or computer- driven. However, extreme traffic situations might exhibit practical cases in which a vehicle should safely and reasonably relax traffic regulation, e.g., in…

Artificial Intelligence · Computer Science 2012-12-05 Philippe Morignot , Fawzi Nashashibi

This paper presents a game-theoretic path-following formulation where the opponent is an adversary road model. This formulation allows us to compute safe sets using tools from viability theory, that can be used as terminal constraints in an…

Robotics · Computer Science 2020-05-18 Alexander Liniger , Luc van Gool

This paper addresses the problem of temporal logic motion planning for an autonomous robot operating in an unknown environment. The objective is to enable the robot to satisfy a syntactically co-safe Linear Temporal Logic (scLTL)…

Robotics · Computer Science 2026-02-24 Azizollah Taheri , Derya Aksaray

When selfish users share a road network and minimize their individual travel costs, the equilibrium they reach can be worse than the socially optimal routing. Tolls are often used to mitigate this effect in traditional congestion games,…

Optimization and Control · Mathematics 2020-09-02 Daniel A. Lazar , Ramtin Pedarsani

This research introduces two efficient methods to estimate the collision risk of planned trajectories in autonomous driving under uncertain driving conditions. Deterministic collision checks of planned trajectories are often inaccurate or…

Robotics · Computer Science 2025-10-08 Marc Kaufeld , Johannes Betz

We address the problem of optimal path planning for a simple nonholonomic vehicle in the presence of obstacles. Most current approaches are either split hierarchically into global path planning and local collision avoidance, or neglect some…

Optimization and Control · Mathematics 2020-05-08 Christian Parkinson , Andrea L. Bertozzi , Stanley Osher

We study automated intrusion prevention using reinforcement learning. In a novel approach, we formulate the problem of intrusion prevention as an optimal stopping problem. This formulation allows us insight into the structure of the optimal…

Artificial Intelligence · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

An important capability of autonomous Unmanned Aerial Vehicles (UAVs) is autonomous landing while avoiding collision with obstacles in the process. Such capability requires real-time local trajectory planning. Although trajectory-planning…

Robotics · Computer Science 2021-11-19 Yossi Magrisso , Ehud Rivlin , Hector Rotstein

Autonomous agents are promising in applications such as intelligent transportation and smart manufacturing, and scheduling of agents has to take their inertial constraints into consideration. Most current researches require the obedience of…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Feihong Yang , Yuan Shen

This paper investigates continuous-time motion planning under Signal Temporal Logic (STL) specifications. The goal is to generate smooth robot trajectories that satisfy high-level logical and timing requirements while respecting low-level…

Robotics · Computer Science 2026-05-25 Yu Chen , Ancheng Hou , Mingyang Feng , Xiao Yu , Xiang Yin

This paper proposes an optimization-based approach to predict trajectories of autonomous race cars. We assume that the observed trajectory is the result of an optimization problem that trades off path progress against acceleration and jerk…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Rudolf Reiter , Florian Messerer , Markus Schratter , Daniel Watzenig , Moritz Diehl

Basis splines enable a time-continuous feasibility check with a finite number of constraints. Constraints apply to the whole trajectory for motion planning applications that require a collision-free and dynamically feasible trajectory.…

Robotics · Computer Science 2023-10-06 Philip Dorpmüller , Thomas Schmitz , Naveen Bejagam , Torsten Bertram

Cooperative vehicle management emerges as a promising solution to improve road traffic safety and efficiency. This paper addresses the speed planning problem for connected and autonomous vehicles (CAVs) at an unsignalized intersection with…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Xiao Pan , Boli Chen , Stelios Timotheou , Simos A. Evangelou

Work zone navigation remains one of the most challenging manoeuvres for autonomous vehicles (AVs), where constrained geometries and unpredictable traffic patterns create a high-risk environment. Despite extensive research on AV trajectory…

Multiagent Systems · Computer Science 2026-03-23 Mayar Nour , Atrisha Sarkar , Mohamed H. Zaki

Recent advancements in self-driving car technologies have enabled them to navigate autonomously through various environments. However, one of the critical challenges in autonomous vehicle operation is trajectory planning, especially in…

The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal properties, and of distributed control laws converging to optimal…

Combinatorics · Mathematics 2015-03-17 Fabio Pasqualetti , Antonio Franchi , Francesco Bullo

We address the problem of motion planning for four-way intersection crossings with right-of-ways. Road safety typically assigns liability to the follower in rear-end collisions and to the approaching vehicle required to yield in side…

Robotics · Computer Science 2023-03-15 Tim Puphal , Malte Probst , Misa Komuro , Yiyang Li , Julian Eggert
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