Numerical approximation of bang-bang controls for the heat equation: an optimal design approach

DOI10.1016/j.sysconle.2013.04.009zbMath1279.49021OpenAlexW2086859680MaRDI QIDQ2434440

Francisco Periago, Arnaud Münch

Publication date: 5 February 2014

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2013.04.009

zbMATH Keywords

heat equationbang-bang controlnumerical approximationconvex relaxation

Mathematics Subject Classification ID

Related Items (10)

Optimal actuator location of minimum norm controls for heat equation with general controlled domain ⋮ Optimal design of the time-dependent support of bang-bang type controls for the approximate controllability of the heat equation ⋮ Time-optimality by distance-optimality for parabolic control systems ⋮ Observability inequality from measurable sets and the shape design problem for stochastic parabolic equations ⋮ Identification of the initial temperature from the given temperature data at the left end of a rod ⋮ Optimal actuator design based on shape calculus ⋮ Continuous dependence of optimal control to controlled domain of actuator for heat equation ⋮ On optimal location of diffusion and related optimal control for null controllable heat equation ⋮ Optimal actuator location for time and norm optimal control of null controllable heat equation ⋮ Modeling and optimizing a road de-icing device by a nonlinear heating

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the regularity of null-controls of the linear 1-d heat equation
• Optimal distribution of the internal null control for the one-dimensional heat equation
• On exact and approximate boundary controllabilities for the heat equation: A numerical approach
• Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
• Strong convergent approximations of null controls for the 1D heat equation
• Relaxation of an optimal design problem for the heat equation
• Variation and optimization of formes. A geometric analysis
• On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree
• Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
• Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
• The zero set of a solution of a parabolic equation.
• Contróle Exact De Léquation De La Chaleur
• Approximate controllability of the semilinear heat equation
• On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations
• Exact and Approximate Controllability for Distributed Parameter Systems
• L^∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle
• Null-controllability of one-dimensional parabolic equations

This page was built for publication: Numerical approximation of bang-bang controls for the heat equation: an optimal design approach