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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 2, Pages 225–231
DOI: https://doi.org/10.31857/S0044466924020046 (Mi zvmmf11701) 		 
General numerical methods

Synthesis of an optimal stable affine system

L. T. Ashchepkov

Eastern Federal University, 690922, Vladivostok, Russia
Full-text PDF
DOI: https://doi.org/10.31857/S0044466924020046
Abstract: A method for constructing a feedback that ensures the attraction of trajectories of an affine system to an equilibrium state and to a given manifold is proposed. The feedback is found in an analytical form as a solution to an auxiliary optimal control problem. Sufficient conditions for the existence of the optimal control are given. Application of the proposed method to some classes of linear and nonlinear systems is discussed.
Key words: attraction of trajectories, stability, sufficient optimality conditions, system design, existence of optimal control.
Received: 22.08.2023
Revised: 08.09.2023
Accepted: 20.10.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 2, Pages 211–216
DOI: https://doi.org/10.1134/S0965542524020039
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: L. T. Ashchepkov, “Synthesis of an optimal stable affine system”, Zh. Vychisl. Mat. Mat. Fiz., 64:2 (2024), 225–231; Comput. Math. Math. Phys., 64:2 (2024), 211–216
Citation in format AMSBIB
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\by L.~T.~Ashchepkov
\paper Synthesis of an optimal stable affine system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 2
\pages 225--231
\mathnet{http://mi.mathnet.ru/zvmmf11701}
\crossref{https://doi.org/10.31857/S0044466924020046}
\elib{https://elibrary.ru/item.asp?id=71544515}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 2
\pages 211--216
\crossref{https://doi.org/10.1134/S0965542524020039}
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