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The Time Optimal Control Problem for System with Delay Under Conditions of Inaccuracy of Information about the Parameter of External Influence

Salim OtakulovJizzakh Polytechnic Institute,Jizzakh,UzbekistanFeruza KholiyarovaSamarkand branch of Tashkent University of Information Technologies,Samarkand,Uzbekistan
2022en
ABI

Abstract

The paper considers a linear control system with a delay in the conditions of inaccuracy of information about the parameter of external influence. The optimal control problem is studied in the sense of the transfers of the trajectory to a mobile terminal set in minimal time. Necessary and sufficient conditions of optimality are obtained. For the case of a terminal set of the form of a half-space, an algorithm is proposed that shows the stages of solving the problem based on the use of the results obtained.

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