Properties of the Controllability Set of One Class of Differential Inclusions

In this paper we consider a mathematical model of control system in the form differential inclusion. The problem of controllability of this system under the condition of mobility of the terminal set \(M = M(t)\) is researched. For this model of a dynamic system we define a notion of the M-controllability set. Using the methods of the theory of differential inclusions and multivalued maps, the structural and topological properties of the M-controllability set are studied.