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Intercepting dynamic objects in uncertain environments involves a significant unresolved challenge in modern robotic systems. Current control approaches rely solely on estimated information, and results lack guarantees of robustness and…

机器人学 · 计算机科学 2025-12-16 Tommaso Faraci , Roberto Lampariello

In this study, we propose an algorithmic framework for solving a class of optimal control problems. This class is associated with the minimum-time interception of moving target problems, where a plant with a given state equation must…

最优化与控制 · 数学 2023-06-21 Maksim Buzikov

The interception of moving targets is a widely studied issue. In this paper, we propose an algorithm of intercepting the moving target with a wheeled mobile robot in a dynamic environment. We first predict the future position of the target…

机器人学 · 计算机科学 2022-05-17 Chendi Qu , Jianping He , Jialun Li , Chongrong Fang , Yilin Mo

The reachable set of controlled dynamical systems consist of the set of all possible reachable states from an initial condition, over a certain period of time under various control and operation constraints and exogenous disturbances. For…

最优化与控制 · 数学 2023-12-14 Sean R. Bowerfind , Ehsan Taheri

This paper addresses the problem of detecting radioactive material in transit using an UAV of minimal sensing capability, where the objective is to classify the target's radioactivity as the vehicle plans its paths through the workspace…

机器人学 · 计算机科学 2018-05-24 Indrajeet Yadav , Kevin Eckenhoff , Guoquan Huang , Herbert G. Tanner

Selective interception of objects in unknown environment autonomously by UAVs is an interesting problem. In this work, vision based interception is carried out. This problem is a part of challenge 1 of Mohammed Bin Zayed International…

Interstellar objects (ISOs) are likely representatives of primitive materials invaluable in understanding exoplanetary star systems. Due to their poorly constrained orbits with generally high inclinations and relative velocities, however,…

We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrable obstacle can be effectively approximated by an isotropic…

偏微分方程分析 · 数学 2021-02-19 Zhengjian Bai , Huaian Diao , Hongyu Liu , Qingle Meng

This paper deals with the impulsive formation control of spacecraft in the presence of constraints on the position vector and time. Determining a set of path constraints can increase the safety and reliability in an impulsive relative…

最优化与控制 · 数学 2019-03-05 Amir Shakouri

The minimum-time path for intercepting a moving target with a prescribed impact angle is studied in the paper. The candidate paths from Pontryagin's maximum principle are analyzed, so that each candidate is related to a zero of a…

最优化与控制 · 数学 2021-01-11 Yuan Zheng , Zheng Chen

This paper presents the problem of lateral interception by a Dubins car of a target that moves along an a priori known trajectory. This trajectory is given by two coordinates of a planar location and one angle of a heading orientation,…

最优化与控制 · 数学 2023-04-14 Maksim Buzikov , Andrey Galyaev

Probabilistic guarantees of safety and performance are important in constrained dynamical systems with stochastic uncertainty. We consider the stochastic reachability problem, which maximizes the probability that the state remains within…

最优化与控制 · 数学 2020-12-01 Abraham P. Vinod , Meeko M. K. Oishi

This paper presents a minimum displacement motion planning problem wherein obstacles are displaced by a minimum amount to find a feasible path. We define a metric for robot-obstacle intersection that measures the extent of the intersection…

机器人学 · 计算机科学 2022-04-28 Antony Thomas , Fulvio Mastrogiovanni

This paper presents a novel robust variable-horizon model predictive control scheme designed to intercept a target moving along a known trajectory, in finite time. Linear discrete-time systems affected by bounded process disturbances are…

系统与控制 · 电气工程与系统科学 2025-06-24 Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

In this paper we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when the its mass and its size tend to zero.…

偏微分方程分析 · 数学 2022-11-30 Marco Bravin , Šárka Nečasová

We study the first hitting time statistics between a one-dimensional run-and-tumble particle and a target site that switches intermittently between visible and invisible phases. The two-state dynamics of the target is independent of the…

统计力学 · 物理学 2021-05-05 Gabriel Mercado-Vásquez , Denis Boyer

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

无序系统与神经网络 · 物理学 2009-10-31 Jysoo Lee , Joel Koplik

This work proposes a cooperative strategy that employs deviated pursuit guidance to simultaneously intercept a moving (but not manoeuvring) target. As opposed to many existing cooperative guidance strategies which use estimates of…

系统与控制 · 电气工程与系统科学 2024-02-09 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

We report findings related to a two dimensional viscous fingering problem solved with a timespace method and anisotropic elements. Timespace methods have attracted interest for solution of time dependent partial differential equations due…

计算工程、金融与科学 · 计算机科学 2015-08-18 Kristian E. Jensen

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

数学物理 · 物理学 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun
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