Results 261 to 270 of about 1,800 (293)

Quadrotor dual quaternion control

2015 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS), 2015
This paper introduces the design and practical validation of a quaternion control scheme to globally stabilize a quadrotor aerial vehicle. First an attitude control law is proposed to stabilize the vehicle's heading, then a position control law is developed to stabilize the vehicle around a desired point.
H. Abaunza, J. Carino, P. Castillo, R. Lozano   +3 more
openaire   +1 more source

Dual-hyperbolic Pell quaternions

Journal of Discrete Mathematical Sciences and Cryptography, 2020
In this paper, dual-hyperbolic Pell numbers and Pell quaternions are defined. Also, some algebraic properties of dual-hyperbolic Pell numbers and quaternions which are connected with dual-hyperboli...
openaire   +1 more source

Dual Quaternion Knowledge Graph Embeddings

Proceedings of the AAAI Conference on Artificial Intelligence, 2021
In this paper, we study the problem of learning representations of entities and relations in the knowledge graph for the link prediction task. Our idea is based on the observation that the vast majority of the related work only models the relation as a single geometric operation such as translation or rotation, which limits the representation power of ...
Zongsheng Cao, Qianqian Xu, Zhiyong Yang, Xiaochun Cao, Qingming Huang   +4 more
openaire   +1 more source

Dual Quaternion Involutions and Anti-Involutions

Advances in Applied Clifford Algebras, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayi, Yusuf
openaire   +2 more sources

Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control

Journal of Intelligent & Robotic Systems, 2016
Cluster space control is a method of multirobot formation keeping that considers a group of robots to be a single entity, defining state variables to represent characteristics of the group, such as position, orientation, and shape. This technique, however, suffers from singularities when a minimal state representation is used. This paper presents three
Ignacio Mas, Christopher Kitts
openaire   +2 more sources

Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdoğdu, Melek, Özdemir, Mustafa
openaire   +1 more source

Generalized dual Fibonacci quaternions

2016
Summary: In this paper, we defined the generalized dual Fibonacci quaternions. Also, we investigated the relations between different generalized dual Fibonacci quaternions. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Yuce, Salim, Torunbalcı Aydın, Fügen
openaire   +2 more sources

Dual quaternion theory over HGC numbers

Journal of Discrete Mathematical Sciences & Cryptography
Knowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbolic-Generalized Complex (HGC)  numbers as coefficients via generalized complex and hyperbolic numbers.
Gürses, Nurten, Saçlı, Gülsüm Yeliz
openaire   +3 more sources

Dual quaternion matrices and MATLAB applications

2018
Summary: There are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first ...
Nalbant, Kemal Gokhan, Yuce, Salim
openaire   +3 more sources

Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM

Communications on Applied Mathematics and Computation, 2022
Liqun Qi
exaly