On a time-optimal control problem associated with the heat exchange process

DOI10.1007/S00245-007-9008-7zbMath1139.49004OpenAlexW1978284419MaRDI QIDQ2480791

Sergio A. Albeverio, Shavkat A. Alimov

Publication date: 3 April 2008

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-007-9008-7

zbMATH Keywords

heat conduction equationparabolic type operatorstime-optimal control of distributed systems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (14)

On the control problem associated with the heating process in the bounded domain ⋮ On a control problem for the subdiffusion equation with a fractional derivative in the sense of Caputo ⋮ On a time-optimal control of thermal processes in a boundary value problem ⋮ Задача управления процессом нагрева тонкой пластины ⋮ On the stability and null-controllability of an infinite system of linear differential equations ⋮ Boundary control of the heat transfer process in the space ⋮ On the time-optimal control problem associated with the heating process of a thin rod ⋮ ON THE CONTROL PROBLEM ASSOCIATED WITH THE HEATING PROCESS ⋮ BOUNDARY CONTROL FOR PSEUDOPARABOLIC EQUATIONS IN SPACE ⋮ The time-optimal problem for evolutionary partial differential equations ⋮ A heat exchange control problem ⋮ On an invariant set in the heat conductivity problem with time lag ⋮ Time optimal control problem with integral constraint for the heat transfer process ⋮ Determining the thermal mode setting parameters based on output data

Cites Work

• Carleman estimates and controllability of linear stochastic heat equations
• Convergence of distributed optimal controls on the internal energy in mixed elliptic problems when the heat transfer coefficient goes to infinity
• Time-Optimal Control of Solutions of Operational Differenital Equations
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