Convergence of SOM multiple models identifier

An algorithm to derive a multiple models set for a plant by the use of the self-organising map (SOM) were introduced by the authors (1999). The statistical properties of the models are investigated in this paper. As a plant, we consider a linear time invariant one. The parameters of the plant at each step are selected randomly with a specified distribution. Based on this distribution, the point distribution of the parameters of the multiple models is derived for this plant and compared with the plant parameters distribution.