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This paper investigates the problem of controlling an autonomous agent to simultaneously localize and circumnavigate an unknown stationary target using bearing-only measurements (without explicit differentiation). To improve the convergence…

Optimization and Control · Mathematics 2025-04-11 Donglin Sui , Mohammad Deghat

Positioning with one inertial measurement unit and one ranging sensor is commonly thought to be feasible only when trajectories are in certain patterns ensuring observability. For this reason, to pursue observable patterns, it is required…

Robotics · Computer Science 2022-11-08 Wei Dong , Zheyuan Mei , Yuanjiong Ying , Sijia Chen , Yichen ie , Xiangyang Zhu

In this paper, we address the problem of attitude synchronization for a group of rigid body systems evolving on SO(3). The interaction among these systems is modeled through an undirected, connected, and acyclic graph topology. First, we…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

The heterogeneity of the small body population complicates the prediction of small body properties before the spacecraft's arrival. In the context of autonomous small body exploration, it is crucial to develop algorithms that estimate the…

Earth and Planetary Astrophysics · Physics 2024-06-19 Paolo Panicucci , Jérémy Lebreton , Roland Brochard , Emmanuel Zenou , Michel Delpech

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

Optimization and Control · Mathematics 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

This paper is devoted to a practical model for relativistic reduction of positional observations with an accuracy of 1 \muas which is expected to be attained in the future space astrometry missions. All relativistic effects which are caused…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

This paper investigates the estimation problem of the pose (orientation and position) and linear velocity of a rigid body, as well as the landmark positions, using an inertial measurement unit (IMU) and a monocular camera. First, we propose…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Miaomiao Wang , Abdelhamid Tayebi

The control of a quadrotor is typically split into two subsequent problems: finding desired accelerations to control its position, and controlling its attitude and the total thrust to track these accelerations and to track a yaw angle…

Robotics · Computer Science 2019-06-18 Dave Kooijman , Angela P. Schoellig , Duarte J. Antunes

We present an analytical description of the motion in the singular logarithmic potential. This potential plays an important role in the modeling of triaxial systems (like elliptical galaxies) or bars in the centers of galaxy disks. In order…

Astrophysics · Physics 2008-11-26 Cristina Stoica , Andreea Font

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

Despite the great success of using gradient-based controllers to stabilize rigid formations of autonomous agents in the past years, surprising yet intriguing undesirable collective motions have been reported recently when inconsistent…

Robotics · Computer Science 2016-09-22 Hector Garcia de Marina , Ming Cao , Bayu Jayawardhana

In general relativity, only relative acceleration has an observer-independend meaning: curvature and non-gravitational forces determine the rate at which world lines of test bodies diverge or converge. We derive the equations governing both…

High Energy Physics - Theory · Physics 2009-11-07 J. W. van Holten

We consider the problem of attitude tracking for small-scale aerobatic helicopters. A small scale helicopter has two subsystems: the fuselage, modeled as a rigid body; and the rotor, modeled as a first order system. Due to the coupling…

Systems and Control · Computer Science 2017-03-29 Nidhish Raj , Ravi N. Banavar , Abhishek , Mangal Kothari

Uncertainty plays a key role in future prediction. The future is uncertain. That means there might be many possible futures. A future prediction method should cover the whole possibilities to be robust. In autonomous driving, covering…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Adil Kaan Akan

We introduce a model of multi-agent dynamics for self-organised motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbours. The body attitudes are represented through unitary…

Mathematical Physics · Physics 2017-06-21 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases

Attitude tracking on the unit sphere of dimension $3$ based on sliding mode is considered in this paper. The tangent bundle of Lagrangian dynamics that describes the rotational motion of a rigid body is first shown to be a Lie group, and…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Eduardo Espindola , Yu Tang

Orbit-attitude hovering of a spacecraft at the natural relative equilibria in the body-fixed frame of a uniformly rotating asteroid is discussed in the framework of the full spacecraft dynamics, in which the spacecraft is modeled as a rigid…

Earth and Planetary Astrophysics · Physics 2014-08-26 Yue Wang , Shijie Xu

In recent years, semidefinite relaxations of common optimization problems in robotics have attracted growing attention due to their ability to provide globally optimal solutions. In many cases, it was shown that specific handcrafted…

Robotics · Computer Science 2024-10-03 Frederike Dümbgen , Connor Holmes , Ben Agro , Timothy D. Barfoot

Accurately knowing uncertainties in appearance-based gaze tracking is critical for ensuring reliable downstream applications. Due to the lack of individual uncertainty labels, current uncertainty-aware approaches adopt probabilistic models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Qiaojie Zheng , Jiucai Zhang , Xiaoli Zhang

We consider the problem of parameter estimation in dynamic systems described by ordinary differential equations. A review of the existing literature emphasizes the need for deterministic global optimization methods due to the nonconvex…

Optimization and Control · Mathematics 2025-06-16 M. Fernández de Dios , Ángel M. González-Rueda , Julio R. Banga , Julio González-Díaz , David R. Penas