On the Conditions of Controllability of Ensemble Trajectories of Differential Inclusion with Delay

Abstract

In this paper we consider the control problem of an ensemble of trajectories of differential inclusion with a delayed argument. The controllability conditions for the ensemble of trajectories from the initial state f_o to a given terminal set  are studied. Necessary and sufficient conditions for f_o,Y-controllability and complete Y-controllability are given. The results are obtained by methods of the theory of differential inclusions and multi-valued analysis.