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Aircraft conflict resolution is one of the major tasks of computer-aided air traffic management and represents a challenging optimization problem. Many models and methods have been proposed to assist trajectory regulation to avoid…

Optimization and Control · Mathematics 2025-06-11 Mercedes Pelegrin , Martina Cerulli

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

Collision prediction in a dynamic and unknown environment relies on knowledge of how the environment is changing. Many collision prediction methods rely on deterministic knowledge of how obstacles are moving in the environment. However,…

Robotics · Computer Science 2019-04-08 Andrew Patterson , Arun Lakshmanan , Naira Hovakimyan

This paper presents a numerical optimization algorithm for generating approach and landing trajectories for a six-degree-of-freedom (6-DoF) aircraft. We improve on the existing research on aircraft landing trajectory generation by…

Optimization and Control · Mathematics 2025-06-12 Taewan Kim , Abhinav G. Kamath , Niyousha Rahimi , Jasper Corleis , Behçet Açıkmeşe , Mehran Mesbahi

Take-off and landing are the periods of a flight where aircraft are most vulnerable to a ground based rocket attack by terrorists. While aircraft approach and depart from airports on pre-defined flight paths, there is a degree of…

Applications · Statistics 2016-03-31 Willem J. Eerland , Simon Box

Realistic aircraft trajectory models are useful in the design and validation of air traffic management (ATM) systems. Models of aircraft operated under instrument flight rules (IFR) require capturing the variability inherent in how aircraft…

Machine Learning · Computer Science 2025-05-29 Soyeon Jung , Amelia Hardy , Mykel J. Kochenderfer

Characterizing the risk of operations is a fundamental requirement in robotics, and a crucial ingredient of safe planning. The problem is multifaceted, with multiple definitions arising in the vast recent literature fitting different…

Robotics · Computer Science 2024-10-03 Lorenzo Paiola , Giorgio Grioli , Antonio Bicchi

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

Collision-free mobile robot navigation is an important problem for many robotics applications, especially in cluttered environments. In such environments, obstacles can be static or dynamic. Dynamic obstacles can additionally be…

Robotics · Computer Science 2023-02-28 Baskın Şenbaşlar , Gaurav S. Sukhatme

As air traffic volume is continuously increasing, it has become a priority to improve traffic control algorithms to handle future air travel demand and improve airspace capacity. We address the conflict resolution problem in air traffic…

Optimization and Control · Mathematics 2020-02-18 Fernando H. C. Dias , Stephanie Rahme , David Rey

Information about the waypoints of a moving object, e.g., an airliner in an air traffic control (ATC) problem, should be considered in trajectory modeling and prediction. Due to the ATC regulations, trajectory design criteria, and…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Reza Rezaie , X. Rong Li

This paper presents an algorithm for solving the problem of tracking smooth curves by a fixed wing unmanned aerial vehicle travelling with a constant airspeed and under a constant wind disturbance. The algorithm is based on the idea of…

Robotics · Computer Science 2017-02-16 Hector Garcia de Marina , Yuri A. Kapitanyuk , Murat Bronz , Gautier Hattenberger , Ming Cao

Effectively managing Air Traffic Control Officer (ATCO) workload is crucial in maintaining operational safety. Group supervisors use tools that estimate upcoming traffic load to aid decision-making. However, industry-standard models can…

Machine Learning · Computer Science 2026-05-25 Edward Henderson , George De Ath , Nick Pepper

Ensuring vertical separation is a key means of maintaining safe separation between aircraft in congested airspace. Aircraft trajectories are modelled in the presence of significant epistemic uncertainty, leading to discrepancies between…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Nick Pepper , Marc Thomas , George De Ath , Enrico Oliver , Richard Cannon , Richard Everson , Tim Dodwell

In a topological dynamical system the complexity of an orbit is a measure of the amount of information (algorithmic information content) that is necessary to describe the orbit. This indicator is invariant up to topological conjugation. We…

Dynamical Systems · Mathematics 2007-05-23 Stefano Galatolo

Highway driving places significant demands on human drivers and autonomous vehicles (AVs) alike due to high speeds and the complex interactions in dense traffic. Merging onto the highway poses additional challenges by limiting the amount of…

Robotics · Computer Science 2020-03-04 Cyrus Anderson , Ram Vasudevan , Matthew Johnson-Roberson

Models for predicting aircraft motion are an important component of modern aeronautical systems. These models help aircraft plan collision avoidance maneuvers and help conduct offline performance and safety analyses. In this article, we…

Machine Learning · Computer Science 2018-10-24 Shane Barratt , Mykel Kochenderfer , Stephen Boyd

This contribution addresses vessel trajectory prediction (VTP), focusing on the evaluation of different deep learning-based approaches. The objective is to assess model performance in diverse traffic complexities and compare the reliability…

Machine Learning · Computer Science 2025-08-21 Zahra Rastin , Kathrin Donandt , Dirk Söffker

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

Robotics · Computer Science 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

We consider travel time tomography problems involving detection of high contrast, discrete high velocity structures. This results in a discrete nonlinear inverse problem, for which traditional grid-based models and iterative linearized…

Data Analysis, Statistics and Probability · Physics 2017-07-07 Yenting Lin , Antonio Ortega