Abstract: The principle of the distribution of the specific pressure in rolling strips is used not only for calculating the total rolling pressure but also for providing the basis in calculating the widening and in designing the rational roll profile. Hitherto, the results of analysis on this subject in the references are expressed as a function of one dimension, and they cannot reflect the variation of the specific pressure along the width of the contact surface. This paper deals with the two-dimensional expression of the principle.of the distribution of the specific pressure with the help of the calculus of variations.

Key words: precise integration, LQG measurement feedback control, Riccati differential equation, time-variant differential equation