On the Problem of Controllability an Ensemble of Trajectories for One Information Model of Dynamic System with Delay
Salim OtakulovJizzakh Polytechnic Institute, Jizzakh, UzbekistanFeruza KholiyarovaSamarkand Branch of Tashkent University of Information Technologies, Samarkand, Uzbekistan
2020 International Conference on Information Science and Communications Technologies (ICISCT)conference2020en
ABI
Abstract
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.