ON THE STRUCTURAL PROPERTIES OF THE REACHABILITY SET OF A DIFFERENTIAL INCLUSION

Authors

  • Otakulov Salim Doctor of Physical and Mathematical Sciences, Professor
  • Rakhimov Boykhuroz Shermuhamedovich Teacher Jizzakh Polytechnic Institute, Jizzakh, Uzbekistan

Keywords:

Differential inclusion, multi-valued mapping, reachability sphere, compactness property

Abstract

In the paper considers a mathematical model of the control object–differential inclusion. For one class of differential inclusions, the properties of a set of absolutely continuous solutions are studied. The structure of the reachability set and the reachability sphere are investigated. The conditions of convexity and compactness of these sets are specified

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Published

2021-02-26

Issue

2021: Scientise-2021

Section

Articles

License

Creative Commons License

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