Stabilization of the linear milling model

Abstract

Within the set of pulse controls we solve the optimal stabilization problem for linear milling model described by the second-order retarded differential equation with periodic coeffi-cients. Canonical decomposition for elements of the function state space is used to replace the initial infinite-dimensional problem by the stabilization problem for a system of ordinary differential equations with periodic coefficients. The latter problem is reduced to the discrete periodic stabilization problem, which is solved by means of a special algorithm.