Nowadays the decrease of energy consumption is a world target and it is no longer feasible to design a system without concerning to the energy optimization. An important energy consumer is associated with building heating systems. The main objective of this paper is to make a comparative study between two neural network architectures; the first is not recurrent, Radial Basis Function (RBF) and the second recurrent, Recurrent Memory Neural Networks (RMNN) for the adaptive control strategy to control the heating system from one room in order to minimize energy without reducing the comfort of occupants. The method was applied to an electric heating system, and the validity and performance of the proposed control system have been shown by various simulations, using the SIMBAD toolbox.