Multilayer feedforward networks are universal approximators
Neural Networks
An introduction to the mathematical theory of inverse problems
An introduction to the mathematical theory of inverse problems
Neural Networks for Pattern Recognition
Neural Networks for Pattern Recognition
A variational formulation for the multilayer perceptron
ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
No free lunch theorems for optimization
IEEE Transactions on Evolutionary Computation
An introduction to simulated evolutionary optimization
IEEE Transactions on Neural Networks
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In this work an extended class of multilayer perceptron is presented. This includes independent parameters, boundary conditions and lower and upper bounds. In some cases, such extensions contain a priori information of the problem. On some other situations they are necessary in order to define a correct representation for the solution. The use of this augmented class of neural network is illustrated through a case study in the optimal control theory. The numerical results are compared against the analytical solution.