Identifying bilinear and trilinear shapes using adaptive algorithms

The present work summarizes the contributions obtained during the doctoral studies in the field of multilinear systems identification. In addition to the design of adaptive algorithms for second and third order multilinear structures, the mathematical analysis of the various parameters belonging to these algorithms is also carried out, as well as the study of their performances. For this purpose, the results of software simulations are presented in comparison with other existing solutions in the specialized literature, in order to emphasize the improvements brought by the proposed methods.