Besicovitch–Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1985-x
Abstract: The purpose of this article is to prove a generalisation of the Besicovitch–Federer projection theorem about a characterisation of rectifiable and unrectifiable sets in terms of their projections. For an m-unrectifiable set $$\varSigma \subset \mathbb… read more here.
Keywords: projection; besicovitch federer; jacobian matrix; rank jacobian ... See more keywords
Jacobian matrix for near-infrared remote sensing based on vector radiative transfer model
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DOI: 10.1007/s11430-019-9586-7
Abstract: Due to the polarization effects of the Earth’s surface reflection and atmospheric particles’ scattering, high-precision retrieval of atmospheric parameters from near-infrared satellite data requires accurate vector atmospheric radiative transfer simulations. This paper presents a near-infrared… read more here.
Keywords: transfer model; jacobian matrix; near infrared; transfer ... See more keywords
Optimal design of a six-axis vibration isolator via Stewart platform by using homogeneous Jacobian matrix formulation based on dual quaternions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mechanical Science and Technology"
DOI: 10.1007/s12206-017-1202-1
Abstract: A six-axis vibration isolation system is essential to high-precision space systems for attenuating vibrations on precise instruments. The kinematic optimal design is researched for the space six-axis vibration isolator via Stewart mechanism. Jacobian matrix is… read more here.
Keywords: axis vibration; six axis; optimal design; jacobian matrix ... See more keywords
Comparing the steady state results of a range of multispecies models between and across geographical areas by the use of the jacobian matrix of yield on fishing mortality rate
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DOI: 10.1016/j.fishres.2018.08.011
Abstract: Like other fisheries models, multispecies models are subject to various sources of error. However, with regard to their use for ecosystem-based fisheries management (EBFM) between model errors are likely to be most important. As multispecies… read more here.
Keywords: fishing mortality; mortality rate; jacobian matrix; multispecies models ... See more keywords
Construction method of parallel mechanisms with a partially constant Jacobian matrix
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DOI: 10.1016/j.mechmachtheory.2019.103699
Abstract: Abstract The Jacobian matrix plays an important role in the performance analysis, configuration design, planning and control of parallel mechanisms (PMs). PMs with a constant Jacobian have simple kinematics and are easy to analyse and… read more here.
Keywords: pms; jacobian matrix; constant jacobian; partially constant ... See more keywords
Adaptive finite-time model estimation and control for manipulator visual servoing using sliding mode control and neural networks
Sign Up to like & getrecommendations! Published in 2022 at "Advanced Robotics"
DOI: 10.1080/01691864.2022.2163856
Abstract: ABSTRACT The image-based visual servoing without models of the system is challenging since it is hard to fetch an accurate estimation of hand-eye relationship via merely visual measurement. Whereas, the accuracy of the estimated hand-eye… read more here.
Keywords: jacobian matrix; time; control; finite time ... See more keywords
Discrete Data-Driven Control of Redundant Manipulators With Adaptive Jacobian Matrix
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DOI: 10.1109/tie.2023.3347831
Abstract: Redundant manipulators are widely used in various fields due to their multiple degrees of freedom characteristics, and their tracking control is an important problem in the field of robotics. In order to control manipulators with… read more here.
Keywords: discrete data; control; jacobian matrix; data driven ... See more keywords
Data-Driven Adaptive Modelling and Control for a Class of Discrete-Time Robotic Systems Based on a Generalized Jacobian Matrix Initialization
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DOI: 10.3390/math11112555
Abstract: Data technology advances have increased in recent years, especially for robotic systems, in order to apply data-driven modelling and control computations by only considering the input and output signals’ relationship. For a data-driven modelling and… read more here.
Keywords: jacobian matrix; control; robotic systems; data driven ... See more keywords