RUS  ENG
Full version
JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2025 Volume 25, Number 2, Pages 271–277 (Mi dvmg575)

Relay control in the problem of optimization of complex heat transfer

A. Yu. Chebotarev

Far Eastern Federal University, Vladivostok

Abstract: The problem of optimal control with boundary observation for a stationary model of complex heat transfer is considered. The solvability of the problem is proved and optimality conditions are obtained, on the basis of which the strict principle of bang-bang is substantiated — the relay nature of optimal control.

Key words: complex heat transfer, diffusion approximation, optimal control, relay control.

UDC: 517.95

MSC: 35Q79

Received: 30.05.2025
Accepted: 07.11.2025

DOI: 10.47910/FEMJ202521



© Steklov Math. Inst. of RAS, 2026