A RADIAL BASIS FUNCTION NETWORK APPROACH FOR THE COMPUTATION OF INVERSE CONTINUOUS TIME VARIANT FUNCTIONS

2007 ◽  
Vol 17 (03) ◽  
pp. 149-160 ◽  
Author(s):  
RENÉ V. MAYORGA ◽  
JONATHAN CARRERA

This Paper presents an efficient approach for the fast computation of inverse continuous time variant functions with the proper use of Radial Basis Function Networks (RBFNs). The approach is based on implementing RBFNs for computing inverse continuous time variant functions via an overall damped least squares solution that includes a novel null space vector for singularities prevention. The singularities avoidance null space vector is derived from developing a sufficiency condition for singularities prevention that conduces to establish some characterizing matrices and an associated performance index.

2004 ◽  
Vol 13 (03) ◽  
pp. 641-668 ◽  
Author(s):  
RENÉ V. MAYORGA ◽  
JONATHAN CARRERA

In this article a Radial Basis Function Network (RBFN) approach for fast and efficient computation of inverse continuous time variant functions is presented. The approach is based on using a novel RBFN approach for computing inverse continuous time variant functions via a damped least squares formulation and also on a non-conventional implementation of an original approach for singularities prevention and conditioning improvement. The singularities avoidance approach in turn consists on establishing some characterizing matrices, in order to obtain a performance index and a null space vector, and then properly including it in the overall RBFN approach.


2016 ◽  
Author(s):  
Olímpio Murilo Capeli ◽  
Euvaldo Ferreira Cabral Junior ◽  
Sadao Isotani ◽  
Antonio Roberto Pereira Leite de Albuquerque

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