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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 10, Pages 1836–1850 (Mi zvmmf11847)

Optimal control

Solution of the terminal control problem for a nonlinear stationary system in a bounded domain

A. N. Kvitko

St. Petersburg State University, 199034, St. Petersburg, Russia

Abstract: An algorithm for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to the origin on a non-fixed time interval, quite convenient for numerical implementation, is proposed. A constructive Kalman-type sufficient condition that guarantees the specified transfer is found. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical modeling.

Key words: controllability, boundary conditions, stabilization.

UDC: 517.977

Received: 16.05.2024
Revised: 28.05.2024
Accepted: 28.06.2024

DOI: 10.31857/S0044466924100057


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:10, 2222–2237

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© Steklov Math. Inst. of RAS, 2026