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We consider the identi®cation of Hammerstein/non-linear feedback models by approximating internal non-linearities using piecewise linear static maps. The resulting method utilizes a point-slope parameterization that leads to a computationally tractable optimization problem. The computational appeal of this technique is derived from the fact that the method only requires a matrix inverse and singular value decomposition. Furthermore, the identi®cation method simultaneously identi®es the lineardoi:10.1080/00207170110089798 fatcat:rdhibyxtkjcmxn3dksobam5znu