Стабилизация динамических систем при постоянно действующих возмущениях ограниченными инерционными управлениями

Abstract

The problem of linear dymanic systems stabilization functioning under conditions influencing on it perturbations by inertial controls presenting continuous functions with bounded derivatives is described. For construction of the bounded feedback stabilization the accompanyng problem optimal control is introduced. Optimal disconnection programm-positional feedback is constructed for it and it is proved, that the latter has stabilization properties for under the action perturbations. The result are illustrated by examples dymanic system stabilization of the fourth order.