scholarly journals A potential function method for the Cauchy problem of elliptic operators

2012 ◽  
Vol 395 (1) ◽  
pp. 164-174 ◽  
Author(s):  
Yao Sun ◽  
Deyue Zhang ◽  
Fuming Ma
Keyword(s):  
Cauchy Problem ◽  
Potential Function ◽  
Function Method ◽  
Elliptic Operators ◽  
The Cauchy Problem ◽  
Potential Function Method

Classifying Large Chemical Data Sets: Using A Regularized Potential Function Method

2010 ◽  
Vol 51 (1) ◽  
pp. 4-14 ◽  
Author(s):  
Hamse Y. Mussa ◽  
Lezan Hawizy ◽  
Florian Nigsch ◽  
Robert C. Glen
Keyword(s):  
Potential Function ◽  
Function Method ◽  
Chemical Data ◽  
Data Sets ◽  
Potential Function Method

On different parameterisation methods to analyse spacecraft attitude manoeuvres in the presence of attitude constraints

2007 ◽  
Vol 111 (1119) ◽  
pp. 335-342 ◽  
Author(s):  
G. Radice ◽  
M. Casasco
Keyword(s):  
Potential Function ◽  
Function Method ◽  
Potential Functions ◽  
Spacecraft Attitude ◽  
Modified Rodrigues Parameters ◽  
Current Attitude ◽  
Definition Of ◽  
Potential Function Method

Abstract This paper analyses and compares two different attitude representations, using quaternions and modified Rodrigues parameters, in the context of the potential function method applied to autonomously control constrained attitude slew manoeuvres. This method hinges on the definition of novel Lyapunov potential functions in terms of the attitude parameters representing the current attitude, the goal attitude and any pointing constraints, which may be present. It proves to be successful in forcing the satellite to achieve the desired attitude while at the same time avoiding the pointing constraints. A linearised version of the modified Rodrigues parameterisation is also introduced and analysed. Finally advantages and drawbacks of all attitude representations are discussed.

scholarly journals POTENTIAL FUNCTION METHOD APPROACH TO PATTERN RECOGNITION APPLICATIONS

2017 ◽  
Vol 2 ◽  
pp. 30
Author(s):  
Peter Grabusts
Keyword(s):  
Pattern Recognition ◽  
Potential Function ◽  
Function Method ◽  
Recognition Task ◽  
Potential Functions ◽  
Learning Procedure ◽  
Potential Methods ◽  
Pattern Recognition Task ◽  
Method Approach ◽  
Potential Function Method

Potential function method was originally offered to solve the pattern recognition tasks, then it was generalized to a wider range of tasks, which were associated with the function approximation. Potential function method algorithms are based on the hypothesis of the nature of the function that separates sets according to different classes of patterns. Geometrical interpretation of pattern recognition task includes display of patterns in the form of vector in the space of input signal that allows to perceive the learning as approximation task. The paper describes the essence of potential function method and the learning procedure is shown that is based on practical application of potential methods. Pattern recognition applications with the help of examples of potential functions and company bankruptcy data analysis with the help of potential functions are given.

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