Generalized solutions of optimal control problems

Authors

  • Ivan Beyko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine
  • Olesya Furtel Kamianets-Podіlskyi Ivan Ohiienko National University, Kamianets-Podilskyi, Ukraine
  • Julia Spivak National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2020.4.08

Keywords:

optimal control, mathematical modeling, processes with concentrated parameters, processes with distributed parameters

Abstract

The problems of optimal control of systems of algebraic-integro-differential equations and partial differential equations are considered, which describe controlled processes with concentrated and distributed parameters. Generalized optimal solutions that exist for a wide range of optimal control applications are identified. Methods for constructing approximate generalized solutions are considered.

Author Biographies

Ivan Beyko, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv

Ivan V. Beyko,

Doctor of Technical Sciences, a professor at the Department of Mathematical Physics of the Faculty of Physics and Mathematics of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine.

Olesya Furtel, Kamianets-Podіlskyi Ivan Ohiienko National University, Kamianets-Podilskyi

Olesya V. Furtel,

an assistant at the Department of Computer Sciences of the Faculty of Physics and Mathematics of Kamianets-Podіlskyi Ivan Ohiienko National University, Kamianets-Podilskyi, Ukraine.

Julia Spivak, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv

Julia V. Spivak,

a Ph.D. student at the Department of Mathematical Physics of the Faculty of Physics and Mathematics of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine.

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Published

2020-12-29

Issue

No. 4 (2020)

Section

Methods of optimization, optimum control and theory of games

License

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