On the Problem of Controllability an Ensemble of Trajectories for One Information Model of Dynamic System with Delay

In this paper we consider the control problem of ensemble of trajectories for one information model of dynamic system controlled differential inclusion with a delayed argument. The controllability conditions for the ensemble of trajectories from the initial state to a given terminal set are studied. Necessary and sufficient conditions for (φ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sup> , Y)-controllability are given. The results are obtained by methods of the theory of differential inclusions and multi-valued analysis.

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