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We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and…

Analysis of PDEs · Mathematics 2017-06-02 Luis Escauriaza , Santiago Montaner , Can Zhang

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

Autonomous exploration is a widely studied fundamental application in the field of quadrotors, which requires them to automatically explore unknown space to obtain complete information about the environment. The frontier-based method, which…

Robotics · Computer Science 2024-02-27 Tong Zhang , Jiajie Yu , Jiaqi Li , Minghui Pang

Accurate calculation of aircraft fuel consumption plays an irreplaceable role in flight operations, optimization, and pollutant accounting. Calculating aircraft fuel consumption accurately is tricky because it changes based on different…

Applications · Statistics 2025-12-17 Linfeng Zhang , Alex Bian , Changmin Jiang , Lingxiao Wu

Light-in-flight (LiF) measurements enable the visualization of light paths through arbitrary, volumetric scenes, making light-matter interactions at ultrafast timescales visible. Traditionally, LiF measurements require specialized…

This paper introduces a novel, small form-factor, aerial vehicle research platform for agile object detection, classification, tracking, and interaction tasks. General-purpose hardware components were designed to augment a given aerial…

Robotics · Computer Science 2024-03-07 Cora A. Dimmig , Anna Goodridge , Gabriel Baraban , Pupei Zhu , Joyraj Bhowmick , Marin Kobilarov

The attitude dynamics of aircraft and spacecraft exhibit significantly nonlinear behaviour. In spacecraft, torque is generated through reaction wheels and control moment gyros. In aircraft, torque is generated using lift on control…

Dynamical Systems · Mathematics 2026-04-15 Aleksandr Talitckii , Matthew Peet

Testing the aerodynamics of micro- and nano-UAVs without actually flying is highly challenging. To address this issue, we introduce Open Gimbal, a specially designed 3 Degrees of Freedom platform that caters to the unique requirements of…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Suryansh Sharma , Tristan Dijkstra , R. Venkatesha Prasad

The use of eXtended Reality (XR) technologies in the space domain has increased significantly over the past few years as it can offer many advantages when simulating complex and challenging environments. Space agencies are currently using…

Human-Computer Interaction · Computer Science 2024-10-22 Florian Saling , Andrea Emanuele Maria Casini , Andreas Treuer , Martial Costantini , Leonie Bensch , Tommy Nilsson , Lionel Ferra

This paper presents reinforcement learning (RL) policies for dynamic quadrupedal locomotion in planetary exploration scenarios. Building on a taskoptimized quadruped with a 5-bar leg design, we develop RL policies for walking, vertical…

Robotics · Computer Science 2026-05-26 Jørgen Anker Olsen , Kostas Alexis

An unmanned autonomous vehicle (UAV) is sent on a mission to explore and reconstruct an unknown environment from a series of measurements collected by Bayesian optimization. The success of the mission is judged by the UAV's ability to…

Machine Learning · Statistics 2021-04-09 Antoine Blanchard , Themistoklis Sapsis

Accurate localization of maritime targets by unmanned aerial vehicles (UAVs) remains challenging in GPS-denied environments. UAVs equipped with gimballed electro-optical sensors are typically used to localize targets, however, reliance on…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Alfonso Sciacchitano , Liraz Mudrik , Sean Kragelund , Isaac Kaminer

Autonomous exploration is one of the important parts to achieve the autonomous operation of Unmanned Aerial Vehicles (UAVs). To improve the efficiency of the exploration process, a fast and autonomous exploration planner (FAEP) is proposed…

Robotics · Computer Science 2022-02-28 Yinghao Zhao , Li Yan , Yu Chen , Hong Xie , Bo Xu

We deal with a planar random flight $\{(X(t),Y(t)),0<t\leq T\}$ observed at $n+1$ equidistant times $t_i=i\Delta_n,i=0,1,...,n$. The aim of this paper is to estimate the unknown value of the parameter $\lambda$, the underlying rate of the…

Statistics Theory · Mathematics 2007-06-13 Alessandro De Gregorio

The study of multiple extrasolar planetary systems has the opportunity to obtain constraints for the planetary masses and orbital inclinations via the detection of mutual perturbations. The analysis of precise radial velocity measurements…

Earth and Planetary Astrophysics · Physics 2015-05-19 András Pál

Exploration of terrestrial planets such as Mars are conducted using orbiters, landers and rovers. Cameras and instruments onboard orbiters have enabled global mapping of Mars at low spatial resolution. Landers and rovers such as the Mars…

Instrumentation and Methods for Astrophysics · Physics 2019-10-10 Adrien Bouskela , Alexandre Kling , Aman Chandra , Tristan Schuler , Sergey Shkarayev , Jekan Thangavelautham

Navigation of UAVs in unknown environments with obstacles is essential for applications in disaster response and infrastructure monitoring. However, existing obstacle avoidance algorithms, such as Artificial Potential Field (APF) are unable…

Robotics · Computer Science 2025-06-10 Shahid Mohammad Mulla , Aryan Kanakapudi , Lakshmi Narasimhan , Anuj Tiwari

The future of space exploration missions will rely on technologies increasing their endurance and self-sufficiency, including for manufacturing objects on-demand. We propose a process for handling and additively manufacturing powders that…

Accelerated failure time (AFT) models are used widely in medical research, though to a much lesser extent than proportional hazards models. In an AFT model, the effect of covariates act to accelerate or decelerate the time to event of…

Methodology · Statistics 2020-06-15 Michael J. Crowther , Patrick Royston , Mark Clements

This research addresses the challenge of executing multi-UAV survey missions over diverse terrains characterized by varying elevations. The approach integrates advanced two-dimensional ergodic search technique with model predictive control…

Robotics · Computer Science 2026-01-21 Luka Lanča , Karlo Jakac , Stefan Ivić