The stability analysis in adaptative digital filters is generally referred to possible instabilities in the adaptation algorthms. However, the algorithm stabilization is only part of the problem, because the stabilization of the recursive structures, where this algorithms operate, should be also considered. This work discusses the stabilization of digital filtering recursive structures that are used in adaptative IIR filters, presenting solutions to its use real time. The stabilization of the structure, added to the stabilization of the algorithm, has the objective of stabilizing the whole filter operation. The study begins with the analysis of the main algorithms for adaptive IIR filters, emphasizing the stability aspect. In this way, instabilities wventually occurred in the sequence of the work could be atributed only to the structure, avoiding any confusion with algorithm´s errors. After that, a new algorithm, that intend to stabilize the recursive structures of the digital IIR filters with a adaptable structure model, is proposed. The method is based on the error energy percentage variation, with real time calculation. Finally, some examples are presented, indicating the viability of the proposed method, showing additional benefits in the convergence speed and reduction of the polarization of the process parameters.