ABOUT THE PROPERTY OF CONTROLLABILITY AN ENSAMBLE OF TRAJECTORIES OF DIFFERENTIAL INCLUSION

Otakulov Salim; Rahimov Boykxuroz Shermukxamedovich

doi:10.17605/OSF.IO/AXW36

Authors

Otakulov Salim Doctor of sciences physic and mathematics, professor Jizzakh Polytechnic Institute, Jizzakh, Uzbekistan1 Teacher-assistant, Jizzakh Polytechnic Institute, Jizzakh, Uzbekistan2
Rahimov Boykxuroz Shermukxamedovich Doctor of sciences physic and mathematics, professor Jizzakh Polytechnic Institute, Jizzakh, Uzbekistan1 Teacher-assistant, Jizzakh Polytechnic Institute, Jizzakh, Uzbekistan2

DOI:

https://doi.org/10.17605/OSF.IO/AXW36

Keywords:

differential inclusion, control system, ensemble of trajectories, controllability conditions.

Abstract

In this paper the property of controllability an ensemble of trajectories of differential inclusion with control parameter is researched. The control problem of an ensemble trajectories from the initial state 0x to a given terminal set )(tYY are studied. The necessary and sufficient conditions for “point” ),(0Yx-controllability and completely Y-controllability are given.

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