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A path-planning algorithm for connected and non-connected automated road vehicles on multilane motorways is derived from the opportune formulation of an optimal control problem. In this framework, the objective function to be minimized…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Typaldos , Markos Papageorgiou , Ioannis Papamichail

A bounded curvature path is a continuously differentiable piece-wise $C^2$ path with bounded absolute curvature connecting two points in the tangent bundle of a surface. These paths have been widely considered in computer science and…

Metric Geometry · Mathematics 2020-05-28 Jean Díaz , José Ayala

A method for trajectory smoothing for UAV reference path planning is presented. It is derived based on the dynamics of a Dubins airplane model, and involves a decoupling step, spatial modeling and linear programming. The decoupling step…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mogens Plessen

Many real-world systems often involve physical components or operating environments with highly nonlinear and uncertain dynamics. A number of different control algorithms can be used to design optimal controllers for such systems, assuming…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Navid Hashemi , Justin Ruths , Jyotirmoy V. Deshmukh

Unlike conventional cars, connected and autonomous vehicles (CAVs) can cross intersections in a lane-free order and utilise the whole area of intersections. This paper presents a minimum-time optimal control problem to centrally control the…

Multiagent Systems · Computer Science 2022-04-19 Mahdi Amouzadi , Mobolaji Olawumi Orisatoki , Arash M. Dizqah

This paper presents an integrated approach for efficient path planning and energy management in hybrid unmanned aerial vehicles (HUAVs) equipped with dual fuel-electric propulsion systems. These HUAVs operate in environments that include…

Optimization and Control · Mathematics 2025-05-27 Saurabh Belgaonkar , Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl

This paper addresses the following task: given a set of patches or areas of varying sizes that are meant to be serviced within a bounding contour calculate a minimal length path plan for an unmanned aerial vehicle (UAV) such that the path…

Robotics · Computer Science 2025-02-20 Mogens Plessen

For accomplishing a variety of missions in challenging environments, the capability of navigating with full autonomy while avoiding unexpected obstacles is the most crucial requirement for UAVs in real applications. In this paper, we…

Robotics · Computer Science 2020-12-29 Han Chen , Peng Lu

The distant graph $G = G(\mathbb{P}(Z),\triangle)$ of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein's geometric interpretation of Euclidean continued…

Combinatorics · Mathematics 2015-12-02 Andrzej Matraś , Artur Siemaszko

This paper formalizes path planning problem for a group of heterogeneous Dubins vehicles performing tasks in a remote fashion and develops a memetic algorithm-based method to effectively produce the paths. In the setting, the vehicles are…

Multiagent Systems · Computer Science 2018-08-09 Doo-Hyun Cho , Han-Lim Choi

Autonomous agents face the challenge of coordinating multiple tasks (perception, motion planning, controller) which are computationally expensive on a single onboard computer. To utilize the onboard processing capacity optimally, it is…

Robotics · Computer Science 2023-05-09 Aditya Shirwatkar , Aman Singh , Jana Ravi Kiran

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

The essence of the path planning problems is multi-modality constraint. However, most of the current literature has not mentioned this issue. This paper introduces the research progress of path planning based on the multi-modality…

Robotics · Computer Science 2025-03-11 Chunhui Zhou , Shangding Gu , Yuanqiao Wen , Zhe Du , Changshi Xiao , Liang Huang , Man Zhu

We study the problem of determining optimal coordinated motions for two disc robots in an otherwise obstacle-free plane. Using the total path length traced by the two disc centres as a measure of distance, we give an exact characterization…

Computational Geometry · Computer Science 2017-01-23 David Kirkpatrick , Paul Liu

A framework is introduced for planning unmanned aerial vehicle flight paths for visual surveillance of ground targets, each having particular viewing requirements. Specifically, each target is associated with a set of imaging parameters,…

Systems and Control · Electrical Eng. & Systems 2019-08-16 Jeffrey R. Peters , Amit Surana , Grant S. Taylor , Terry S. Turpin , Francesco Bullo

We study the path planning problem for continuum-arm robots, in which we are given a starting and an end point, and we need to compute a path for the tip of the continuum arm between the two points. We consider both cases where obstacles…

Robotics · Computer Science 2018-12-11 Jiahao Deng , Brandon H. Meng , Iyad Kanj , Isuru S. Godage

Finding paths in graphs is a fundamental graph-theoretic task. In this work, we we are concerned with finding a path with some constraints on its length and the number of vertices neighboring the path, that is, being outside of and incident…

Computational Complexity · Computer Science 2019-05-28 Max-Jonathan Luckow , Till Fluschnik

In this paper, we give a control approach to follow a trajectory for a Dubins car controlling the heading independently. The difficulty is that the Dubins car should have a heading corresponding to the argument of the vector speed of the…

Optimization and Control · Mathematics 2024-12-05 Luc Jaulin

The problem of providing meaningful routing directions over road networks is of great importance. In many real-life cases, the fastest route may not be the ideal choice for providing directions in written, spoken text, or for an unfamiliar…

Data Structures and Algorithms · Computer Science 2013-09-18 Dimitris Sacharidis , Panagiotis Bouros

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