About conditions of controllability of ensamble 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 φ0(.) to a given terminal set Y = Y(t) are studied. The results are obtained by methods of the theory of differential inclusions and multi-valued analysis. Necessary and sufficient (φ0,Y)_ conditions for -controllability and complete Y-controllability are given. The significance of these results in studies of control problems under conditions of limited information is discussed.