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Avtomatika i Telemekhanika, 2024, Issue 11, Pages 3–35
DOI: https://doi.org/10.31857/S0005231024110013 (Mi at16275) 		 
Linear Systems

On an approach to solving the time-optimization problem for linear discrete-time systems based on Krotov method

D. N. Ibragimova, K. A. Tsarkovab

a Moscow Aviation Institute (National Research University)
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0005231024110013
Abstract: In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.
Keywords: time-optimization problem, linear systems, discrete time, sequential global improvement.
Funding agency Grant number
Russian Science Foundation 22-11-00042
25-21-00018
Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 30.01.2024
Revised: 13.09.2024
Accepted: 20.09.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 11, Pages 939–962
DOI: https://doi.org/10.1134/S0005117924700231
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. N. Ibragimov, K. A. Tsarkov, “On an approach to solving the time-optimization problem for linear discrete-time systems based on Krotov method”, Avtomat. i Telemekh., 2024, no. 11, 3–35; Autom. Remote Control, 85:11 (2024), 939–962
Citation in format AMSBIB
\Bibitem{IbrTsa24}
\by D.~N.~Ibragimov, K.~A.~Tsarkov
\paper On an approach to solving the time-optimization problem for linear discrete-time systems based on Krotov method
\jour Avtomat. i Telemekh.
\yr 2024
\issue 11
\pages 3--35
\mathnet{http://mi.mathnet.ru/at16275}
\crossref{https://doi.org/10.31857/S0005231024110013}
\edn{https://elibrary.ru/ymlone}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 11
\pages 939--962
\crossref{https://doi.org/10.1134/S0005117924700231}
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