On the Use of Metric-Dependent Methods in Robotics

2005 ◽  
Author(s):  
Dimiter Zlatanov ◽  
Dragomir N. Nenchev
Keyword(s):  
Singular Value Decomposition ◽  
Jacobian Matrix ◽  
Positive Definite ◽  
Singular Value ◽  
Generalized Inverses ◽  
Scalar Products ◽  
Value Decomposition

It is little known that the popular application of generalized inverses, singular value decomposition, conditioning numbers, and grasp and motion measures to many robotics problems involves the addition of different physical units. To redefine such techniques for proper use, meaningful screw scalar products must be used. The paper studies the use of both frame dependent positive-definite metrics and invariant, indefinite or degenerate, screw products for this purpose. Special attention is given to the diagonalization of the Jacobian matrix.

Evaluation Method of Voltage Stability Based on Minimum Singular Value

2014 ◽  
Vol 511-512 ◽  
pp. 1128-1132
Author(s):  
Bing Liu ◽  
Ying Wang ◽  
Zhen Yang ◽  
Yun Wei Li ◽  
Hua Zhi Xie ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Limit Point ◽  
Voltage Stability ◽  
Evaluation Method ◽  
Jacobian Matrix ◽  
Stability Limit ◽  
Singular Value ◽  
Static Voltage Stability ◽  
Stability Monitoring ◽  
Value Decomposition

When the system reaches the static voltage stability limit point, Jacobian matrix is singular. By checking if minimum singular value is zero, its very easy to determine whether or not Jacobian matrix is singular. So the minimum singular value of Jacobian matrix can reflects the degree of system voltage stability effectively. Firstly this paper introduces singular value decomposition, analyses load characteristic and excitation limits involved in this method and examples on PSD-FDS are demonstrated. At last, suggestion on voltage stability monitoring by minimum singular value is proposed.

Improving TF-IDF with Singular Value Decomposition (SVD) for Feature Extraction on Twitter

2017 ◽  
Author(s):  
Ammar Ismael Kadhim ◽  
Yu-N Cheah ◽  
Inaam Abbas Hieder ◽  
Rawaa Ahmed Ali
Keyword(s):  
Feature Extraction ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Value Decomposition

Multi-scale singular value decomposition polarization image fusion defogging algorithm and experiment

2020 ◽  
Vol 13 (6) ◽  
pp. 1-10
Author(s):  
ZHOU Wen-zhou ◽  
◽  
FAN Chen ◽  
HU Xiao-ping ◽  
HE Xiao-feng ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Image Fusion ◽  
Singular Value ◽  
Multi Scale ◽  
Polarization Image ◽  
Value Decomposition
Sign in / Sign up

Export Citation Format

Share Document