Results 221 to 230 of about 14,849 (264)

Kinematic calibration by direct estimation of the Jacobian matrix

Proceedings 1992 IEEE International Conference on Robotics and Automation, 2003
A method for kinematic calibration is presented, which directly estimates the Jacobian matrix from measurements and extracts the kinematic parameters from the Jacobian exactly and without iteration. Two different experimental approaches are presented for measuring the Jacobian.
David J. Bennett, John M. Hollerbach, Paul D. Henri   +2 more
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Accumulating Jacobians as chained sparse matrix products

Mathematical Programming, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas Griewank, Uwe Naumann
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Toeplitz Jacobian Matrix for Nonlinear Periodic Vibration

Journal of Applied Mechanics, 1995
The main difference between a linear system and a nonlinear system is in the non-uniqueness of solutions manifested by the singular Jacobian matrix. It is important to be able to express the Jacobian accurately, completely, and efficiently in an algorithm to analyze a nonlinear system.
Leung, A. Y. T., Ge, T.
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The Jacobian Matrix-Based Learning Machine in Student

2017
The student learning performance is analyzed that we adopted the proposed Jacobian Matrix-based Learning Machine (JMLM). It is significant for establishing prediction machine learning model for student learning performance and these tool can help teacher to analyze the student data not difficult to analyze.
Yi-Zeng Hsieh, Mu-Chun Su, Yu-Lin Jeng
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The Jacobian Matrix, Global Univalence and Completely Mixed Games

Mathematics of Operations Research, 1986
In this paper we prove global univalence results in R4 when the Jacobian matrices are of the Leontief type. Proofs of these make use of ideas from Gale-Nikaido and some nice game theoretic results on completely mixed games due to Kaplansky.
T. Parthasarathy, G. Ravindran
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The jacodian matrix for a flexble manipulator

Journal of Robotic Systems, 1995
AbstractThis article develops the exact first‐order endpoint Jacobian matrix for a general n‐degrees of freedom tree‐like robot with flexible links. The Jacobian is developed in terms of the joint axes, the link deformations, and the relative position vectors using cross products.
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Homeomorphisms of Compact, Convex Sets and the Jacobian Matrix

SIAM Journal on Mathematical Analysis, 1979
Let $K \subset R^n $ be a compact, convex polyhedron and $f:K \to R^n $ a $C^1 $ function. The problem of existence of a global inverse for f is studied. It is shown (Theorem 1) that f has an inverse, if, for every $x \in K$, the Jacobian of f at x, $Jf(x)$, is such that for every linear space spanned by a face of K containing x the determinant of the ...
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A Random Matrix Approach to Manipulator Jacobian

Volume 3: Nonlinear Estimation and Control; Optimization and Optimal Control; Piezoelectric Actuation and Nanoscale Control; Robotics and Manipulators; Sensing; System Identification (Estimation for Automotive Applications, Modeling, Therapeutic Control in Bio-Systems); Variable Structure/Sliding-Mode Control; Vehicles and Human Robotics; Vehicle Dynamics and Control; Vehicle Path Planning and Collision Avoidance; Vibrational and Mechanical Systems; Wind Energy Systems and Control, 2013
Traditional kinematic analysis of manipulators, built upon a deterministic articulated kinematic modeling often proves inadequate to capture uncertainties affecting the performance of the real robotic systems. While a probabilistic framework is necessary to characterize the system response variability, the random variable/vector based approaches are ...
Javad Sovizi, Aliakbar Alamdari, Venkat N. Krovi   +2 more
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On the Perturbation of Jacobian Matrix of Manipulators

2014
The wrench capabilities of manipulators under uncertainties in parameters are examined. The forces/torques of joints are calculated utilizing the perturbed and interval forms of Jacobian matrix. The differential of Jacobian inverse and the resultant differential joint inputs are considered. Reported example parallel manipulators show the implementation
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A Study of the Jacobian Matrix of Serial Manipulators

Journal of Mechanisms, Transmissions, and Automation in Design, 1985
Inversion of the Jacobian matrix is the critical step in rate decomposition which is used to solve the so-called “inverse kinematics” problem of robotics. This is the problem of achieving a coordinated motion relative to the fixed reference frame. In this paper a general methodology is presented for formulation and manipulation of the Jacobian matrix ...
K. J. Waldron, Shih-Liang Wang, S. J. Bolin   +2 more
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