A mathematical analysis of the minimum variance model of human-like reaching movements

The paper deals with modeling of human-like reaching movements using a probabilistic minimum variance model. A continuous formulation of the minimum variance model is developed and analyzed. The model features a parameter, having the meaning of the post-movement time period, whose assignment in a systematic way is not evident. To facilitate the situation and avoid the explicit specification of this parameter, the limiting case of the post-movement period tending to infinity is analyzed for several classes of the control plant. A connection between this limiting model and the conventional minimum control effort model is also established.