Boundary control of the heat transfer process in the space

DOI10.3103/S1066369X19120089zbMath1447.93147OpenAlexW3000206885MaRDI QIDQ2191560

Z. K. Fayazova

Publication date: 25 June 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19120089

zbMATH Keywords

Laplace transformparabolic equationboundary value problemcontrol parametercontrol problemfirst kind Volterra integral equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic equations (35K20) Laplace transform (44A10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (4)

On a time-optimal control of thermal processes in a boundary value problem ⋮ Задача управления процессом нагрева тонкой пластины ⋮ Investigation of Boundary Control and Final Observation in Mathematical Model of Motion Speed Potentials Distribution of Filtered Liquid Free Surface ⋮ On the time-optimal control problem associated with the heating process of a thin rod

Cites Work

• Carleman estimates and controllability of linear stochastic heat equations
• On a time-optimal control problem associated with the heat exchange process
• Point control: approximations of parabolic problems and pseudo parabolic problems
• Optimization of boundary controls of string vibrations
• Time-Optimal Control of Solutions of Operational Differenital Equations
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
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