ABOUT MINIMAX OPTIMAL CONTROL PROBLEM AN ENSEMBLE OF TRAJECTORIES OF DIFFERENTIAL INCLUSION WITH DELAY

Otakulov Salim; Kholiyarova Feruza Khafizovna

doi:10.5281/zenodo.10058321

ABOUT MINIMAX OPTIMAL CONTROL PROBLEM AN ENSEMBLE OF TRAJECTORIES OF DIFFERENTIAL INCLUSION WITH DELAY

31.10.2023 International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 10

Otakulov Salim, Kholiyarova Feruza Khafizovna

Abstract. In this paper we consider one class controlled differential inclusion with a delay argument. For such models of dynamical systems, the minimax optimal control problem for ensemble of trajectories is researched. The existence problem and conditions of optimality is studied. The existence theorem for optimal control, and the necessary and sufficient conditions of optimality are obtained

Keywords: differential inclusion, delay argument, ensemble of trajectories, minimax problem, optimal control, existence, conditions of optimality

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