On the time-optimal control problem associated with the heating process of a thin rod

DOI10.1134/s1995080223030101zbMath1518.35430OpenAlexW4382054065MaRDI QIDQ6114626

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Publication date: 12 July 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223030101

zbMATH Keywords

Laplace transformintegral equationparabolic equationinitial-boundary problemminimal timeadmissible control

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with control and optimization (35Q93)

Cites Work

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• Distributed and boundary model predictive control for the heat equation
• On the time-optimal control of the heat exchange process
• Boundary control for a pseudo-parabolic equation
• Optimization of boundary controls of string vibrations

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