MODAL CONTROLLABILITY OF ONE TWO-DIMENSIONAL DELAYED SYSTEM IN THE CASE OF MULTIPLE ROOTS

UDC 517.977

 

Yakimenka Andrei Aliaksandravich – PhD (Physics and Mathematics), Associate Professor, Assistant Professor, the Department of Higher Mathematics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: yakimenko@belstu.by

DOI: https://doi.org/ 10.52065/2520-6141-2023-272-2-3.

 

Key words: retarded systems, modal control, regulators, feedback control, delay.

 

For citation: Yakimenka A. A. Modal controllability of one two-dimensional delayed system in the case of multiple roots. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2023, no. 2 (272), pp. 18–22. DOI: 10.52065/2520-6141-2023-272-2-3 (In Russian).

 

Abstract

The publication deals with the problem of modal controllability for a two-dimensional stationary dynamical system with a retarded argument with one input and two commensurate delays. The definition of the modal control problem for the system under study is given. Such a problem is solved in the case of real different roots of one quadratic equation, the coefficients of which are written out according to the parameters of the original system. In the article, feedback controllers are obtained that solve the problem of modal control as elementary functions of the system coefficients in the case of multiple roots.

 

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References

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Поступила после доработки 18.04.2023