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QUATERNIONS: 作品数：23被引量：29H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：曹重光庄瓦金张峥嵘更多>>; 相关机构：黑龙江大学漳州师范学院南京师范大学更多>>; 相关期刊：《Science China Mathematics》《Communications in Theoretical Physics》《Transactions of Nanjing University of Aeronautics and Astronautics》《Journal of Physical Science and Application》更多>>; 相关基金：国家自然科学基金福建省自然科学基金更多>>

Hyperquaternionic Representations of Conic Sections: 《Journal of Applied Mathematics and Physics》2022年第10期2989-3002,共14页Grégoire Lutanda Panga; In this paper, by means of an isomorphism, we express the Clifford algebra Cl_5,3 as hyperquaternion algebra H ⊗H ⊗H ⊗H (a four-fold tensor product of quaternion algebras) and we provide th...; 关键词：Clifford Algebra Multivectors QUATERNIONS Hyperquaternions

New Formula for Computing Quaternion Powers: 《Applied Mathematics》2022年第3期282-294,共13页W. Eltayeb Ahmed; In this work, we create a new mathematical formula that computes the power of a quaternion number raised to a positive integer by reducing the real matrix of order 4 × 4 that we take to represent this quaternion numb...; 关键词：QUATERNIONS Matrix Algebra Kayley-Dickson Construction

Quaternion Realization of Mobile Weapon Aiming Stabilization: 《Journal of Mechanics Engineering and Automation》2022年第1期15-22,共8页Karol Dobrovodský Pavel Andris; Quaternion realization of aiming stabilization of the mobile weapon is considered.Gyro compassing combined with an inclinometer is used for the measurement of the initial chassis orientation in respect of the geograph...; 关键词：QUATERNIONS aiming stabilization gyro compassing INCLINOMETER Earth rotation compensation

Pseudo-linear inertial navigation algorithm被引量：3: 《Chinese Journal of Aeronautics》2021年第2期191-200,共10页Habib GHANBARPOURASL; A new method is illustrated for processing the output of a set of triad orthogonal rate gyros and accelerometers to reconstruct vehicle navigation parameters(attitude, velocity, and position). The paper introduces two...; 关键词：Inertial navigation algorithm Integrating algorithm Position quaternion Pseudo-linear inertial navigation equation QUATERNIONS Velocity quaternion

Algebraic Techniques for Linear Equations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics: 《Journal of Applied Mathematics and Physics》2019年第8期1718-1731,共14页Gang Wang Zhenwei Guo Dong Zhang Tongsong Jiang; This paper aims to present, in a unified manner, algebraic techniques for linear equations which are valid on both the algebras of quaternions and split quaternions. This paper, introduces a concept of v-quaternion, s...; 关键词：V-Quaternion Complex REPRESENTATION Real REPRESENTATION Linear Equations QUATERNION SPLIT QUATERNION

Unrestricted Pell and Pell-lucas Quaternions: 《International Journal of Mathematics and Systems Science》2018年第3期21-24,共4页Goksal Bilgici Paula Catarino; In this study, we define the unrestricted Pell and Pell-Lucas quaternions. We give generating functions, Binet formulas and some generalizations of well-known identities such as Vajda’s, Catalan’s, Cassini’s d’Oca...; 关键词：Pell QUATERNION Pell-Lucas QUATERNION GENERATING FUNCTION

Gradient Descent Algorithm for Small UAV Parameter Estimation System: 《Transactions of Nanjing University of Aeronautics and Astronautics》2017年第6期680-687,共8页Guo Jiandong Liu Qingwen Wang Kang; supported by the Fundamental Research Funds for the Central Universities(No.56XAA17075); A gradient descent algorithm with adjustable parameter for attitude estimation is developed,aiming at the attitude measurement for small unmanned aerial vehicle(UAV)in real-time flight conditions.The accelerometer and...; 关键词：gradient descent algorithm attitude estimation QUATERNIONS small unmanned aerial vehicle(UAV)

Quaternions Complementary Filter for Attitude Algorithm Research: 《International Journal of Plant Engineering and Management》2017年第3期188-192,共5页WANG Shuai; supported by the National Science and Technology(2015BAK06B04); Quatemions complementary filter attitude algorithm was conducted on the unmanned aerial vehicle （UAV） platform. This introduces traditional attitude algorithm and attitude quaternion complementary filter algorithm d...; 关键词：unmanned aerial vehicle （UAV） traditional attitude algorithm quaternions complementary filter

Adaptive formation control of quadrotor unmanned aerial vehicles with bounded control thrust被引量：12: 《Chinese Journal of Aeronautics》2017年第2期807-817,共11页Wang Rui Liu Jinkun; supported by the National Natural Science Foundation of China(No.61374048); In this paper,the flight formation control problem of a group of quadrotor unmanned aerial vehicles（UAVs） with parametric uncertainties and external disturbances is studied.Unitquaternions are used to represent the ...; 关键词：Adaptive control Bounded input Formation control Parametric uncertainties Quadrotor UAV Unit-quaternions

Introducing Quaternions to Integer Factorisation: 《Journal of Physical Science and Application》2015年第2期101-107,共7页HuiKang Tong; The key purpose of this paper is to open up the concepts of the sum of four squares and the algebra of quaternions into the attempts of factoring semiprimes, the product of two prime numbers. However, the application ...; 关键词：Integer factorisation RSA quatemions sum of four squares euler factorisation method.

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