Guaranteed Controls for the Control Problem of a Linear Set-Valued System

Abstract

The article considers the control linear differential equation with Hukuhara derivative and the problem of moving a set-valued object to a target set, that is, when at some point in time the cross section of a set-valued solution of the system is contained in the target set. The solvability conditions for this problem are obtained, as well as the time and controls that guarantee the fulfillment of the termination process condition. It is shown that in some cases the given time and controls will be optimal. The results of the article are illustrated by model examples.