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This paper presents a novel method for attitude estimation of an object in 3D space by incremental learning of the Long-Short Term Memory (LSTM) network. Gyroscope, accelerometer, and magnetometer are few widely used sensors in attitude…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Parag Narkhede , Rahee Walambe , Shashi Poddar , Ketan Kotecha

This research shows that under certain mathematical conditions, a threshold autoregressive model (TAR) can represent the leverage effect based on its conditional variance function. Furthermore, the analytical expressions for the third and…

Statistical Finance · Quantitative Finance 2020-02-19 Oscar Espinosa , Fabio Nieto

Efficient relativistic turbulent acceleration of particles is indicated by recent astrophysical observations. The Type II mechanism with acceleration due to the temporal variations of magnetic field strengths remains underexplored. The…

High Energy Astrophysical Phenomena · Physics 2026-05-08 Saikat Das , Siyao Xu , Joonas Nättilä

Vision-based perception systems are typically exposed to large orientation changes in different robot applications. In such conditions, their performance might be compromised due to the inherent complexity of processing data captured under…

Anticipating changes to vehicle interiors with future automated driving systems, the automobile industry recently has focused attention on crash response in relaxed postures with increased seatback recline. Prior research found that this…

Quantitative Methods · Quantitative Biology 2022-06-22 Sophia K. Tushak , Bronislaw D. Gepner , Jason L. Forman , Jason J. Hallman , Bengt Pipkorn , Jason R. Kerrigan

Several large-scale interferometric gravitational-wave detectors use resonant arm cavities to enhance the light power in the interferometer arms. These cavities are based on different optical designs: One design uses wedged input mirrors to…

General Relativity and Quantum Cosmology · Physics 2009-01-16 S. Hild , A. Freise , M. Mantovani , S. Chelkowski , J. Degallaix , R. Schilling

This investigation seeks to establish the practicality of numerical frame approximations. Specifically, it develops a new method to approximate the inverse frame operator and analyzes its convergence properties. It is established that…

Numerical Analysis · Mathematics 2012-03-30 Guohui Song , Anne Gelb

Recently, the ventricular torsional parameters have received special attention because of their significant role in the ventricular systolic and diastolic function. Right ventricular (RV) rotational deformation is a sensitive index for RV…

Medical Physics · Physics 2015-04-22 Saeed Ranjbar

In this paper, we propose a method for online estimation of the robot's posture. Our method uses von Mises and Bingham distributions as probability distributions of joint angles and 3D orientation, which are used in directional statistics.…

Robotics · Computer Science 2024-10-28 Hiroya Sato , Kento Kawaharazuka , Tasuku Makabe , Kei Okada , Masayuki Inaba

The article develops an impact-resilient aerial robot (s-ARQ) equipped with a compliant arm to sense contacts and reduce collision impact and featuring a real-time contact force estimator and a non-linear motion controller to handle…

Robotics · Computer Science 2023-05-25 Zhichao Liu , Zhouyu Lu , Ali-akbar Agha-mohammadi , Konstantinos Karydis

A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The updated equation reduces to the traditional vis-viva equation…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Qi Peng , Shuichiro Yokoyama , Kiyotomo Ichiki

Relative pose estimation between fixed-wing unmanned aerial vehicles (UAVs) is treated using a stable and robust estimation scheme. The motivating application of this scheme is that of "handoff" of an object being tracked from one…

Optimization and Control · Mathematics 2015-09-14 Maziar Izadi , Amit Kumar Sanyal , Randal W. Beard , He Bai

This paper addresses accurate pose estimation (position, velocity, and orientation) for a rigid body using a combination of generic inertial-frame and/or body-frame measurements along with an Inertial Measurement Unit (IMU). By embedding…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Sifeddine Benahmed , Soulaimane Berkane , Tarek Hamel

Sensing contact pressure applied by a gripper can benefit autonomous and teleoperated robotic manipulation, but adding tactile sensors to a gripper's surface can be difficult or impractical. If a gripper visibly deforms, contact pressure…

Robotics · Computer Science 2023-10-02 Jeremy A. Collins , Cody Houff , Patrick Grady , Charles C. Kemp

Robot mobility is critical for mission success, especially in soft or deformable terrains, where the complex wheel-soil interaction mechanics often leads to excessive wheel slip and sinkage, causing the eventual mission failure. To improve…

Robotics · Computer Science 2022-02-18 Wenyao Zhang , Shipeng Lv , Feng Xue , Chen Yao , Zheng Zhu , Zhenzhong Jia

Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using…

Classical Analysis and ODEs · Mathematics 2021-07-22 Viacheslav V. Saenko

This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

This paper addresses the problem of estimating the relative pose (position and orientation) and velocity of a vehicle with respect to a moving target, where both are equipped with Inertial Measurement Units (IMUs), assuming the availability…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alessandro Melis , Tarek Bouazza , Soulaimane Berkane , Tarek Hamel

The umbral restyling of hypergeometric functions is shown to be a useful and efficient approach in simplifying the associated computational technicalities. In this article, the authors provide a general introduction to the umbral version of…

Classical Analysis and ODEs · Mathematics 2024-01-31 Giuseppe Dattoli , Mehnaz Haneef , Subuhi Khan , Silvia Licciardi

This paper proposes to use a newly-derived transformed inertial navigation system (INS) mechanization to fuse INS with other complementary navigation systems. Through formulating the attitude, velocity and position as one group state of…

Robotics · Computer Science 2021-03-18 Lubin Chang , Jingbo Di , Fangjun Qin