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The optimal one-sided parametric polynomial approximants of a circular arc are considered. More precisely, the approximant must be entirely in or out of the underlying circle of an arc. The natural restriction to an arc's approximants…

Numerical Analysis · Mathematics 2025-09-03 Ada Šadl Praprotnik , Aleš Vavpetič , Emil Žagar

The optimal cooperative guidance in the nonlinear setting for intercepting a target by multiple pursuers is studied in the paper. As certain relative angles can improve observability, the guidance command is required to cooperatively…

Optimization and Control · Mathematics 2024-01-17 Han Wang , Zheng Chen

In contrast to set-point tracking which aims to reduce the tracking error between the tracker and the reference, tracking-in-range problems only focus on whether the tracker is within a given range around the reference, making it more…

Systems and Control · Electrical Eng. & Systems 2024-03-06 Nikilesh Ramesh , Eric C. Kerrigan , Yuanbo Nie

Path finding is a well-studied problem in AI, which is often framed as graph search. Any-angle path finding is a technique that augments the initial graph with additional edges to build shorter paths to the goal. Indeed, optimal algorithms…

Artificial Intelligence · Computer Science 2021-04-15 Konstantin Yakovlev , Anton Andreychuk

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

A fundamental task in mobile robotics is keeping an intelligent agent under surveillance with an autonomous robot as it travels in the environment. This work studies a theoretical version of that problem involving one of the most popular…

Robotics · Computer Science 2025-01-09 Ubaldo Ruiz

In this paper, we tackle the problem of planning an optimal coverage path for a robot operating indoors. Many existing approaches attempt to discourage turns in the path by covering the environment along the least number of coverage lines,…

Robotics · Computer Science 2022-05-30 Megnath Ramesh , Frank Imeson , Baris Fidan , Stephen L. Smith

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

Given a geometric path, the Time-Optimal Path Tracking problem consists in finding the control strategy to traverse the path time-optimally while regulating tracking errors. A simple yet effective approach to this problem is to decompose…

Robotics · Computer Science 2018-03-20 Hung Pham , Quang-Cuong Pham

We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

Data Structures and Algorithms · Computer Science 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

A common sensing problem is to use a set of stationary tracking locations to monitor a collection of moving devices: Given $n$ objects that need to be tracked, each following its own trajectory, and $m$ stationary traffic control stations,…

Computational Geometry · Computer Science 2026-03-06 Chek-Manh Loi , Michael Perk , Malte Hoffmann , Sándor Fekete

We consider the problem of planning a closed walk $\mathcal W$ for a UAV to persistently monitor a finite number of stationary targets with equal priorities and dynamically changing properties. A UAV must physically visit the targets in…

Data Structures and Algorithms · Computer Science 2019-06-05 Sai Krishna Kanth Hari , Sivakumar Rathinam , Swaroop Darbha , Krishnamoorthy Kalyanam , Satyanarayana Gupta Manyam , David Casbeer

This paper presents an input-constrained nonlinear guidance law to address the problem of intercepting a stationary target in contested environments with multiple defending agents. Contrary to prior approaches that rely on explicit…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

Many robotic systems must follow planned paths yet pause safely and resume when people or objects intervene. We present an output-space method for systems whose tracked output can be feedback-linearized to a double integrator (e.g.,…

Robotics · Computer Science 2025-09-18 Hossein Gholampour , Logan E. Beaver

This paper presents a learning-based framework for estimating pursuer parameters in turn-rate-limited pursuit-evasion scenarios using sacrificial agents. Each sacrificial agent follows a straight-line trajectory toward an adversary and…

Robotics · Computer Science 2026-02-17 Grant Stagg , Cameron K. Peterson

This paper investigates the problem of planning a minimum-length tour for a three-dimensional Dubins airplane model to visually inspect a series of targets located on the ground or exterior surface of objects in an urban environment.…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Collin Hague , Andrew Willis , Dipankar Maity , Artur Wolek

This paper addresses the Dubins path planning problem for vehicles in 3D space. In particular, we consider the problem of computing CSC paths -- paths that consist of a circular arc (C) followed by a straight segment (S) followed by a…

Robotics · Computer Science 2025-03-17 Ling Xu , Yuliy Baryshnikov , Cynthia Sung

This article considers two variants of a shortest path problem for a car-like robot visiting a set of waypoints. The sequence of waypoints to be visited is specified in the first variant while the robot is allowed to visit the waypoints in…

Robotics · Computer Science 2018-09-12 Sivakumar Rathinam , Satyanarayana Gupta Manyam , Yuntao Zhang

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

Optimization and Control · Mathematics 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras