Optimal design of the time-dependent support of bang-bang type controls for the approximate controllability of the heat equation
DOI10.1007/s10957-013-0447-9zbMath1293.49108OpenAlexW2092476758MaRDI QIDQ398660
Publication date: 15 August 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0447-9
heat equationapproximate controllabilityrelaxationbang-bang controlnumerical approximationoptimal shape design
Controllability (93B05) Heat equation (35K05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods of relaxation type (49M20)
Cites Work
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- Regularity issues for the null-controllability of the linear 1-d heat equation
- Optimal distribution of the internal null control for the one-dimensional heat equation
- Optimal location of the support of the control for the 1-D wave equation: numerical investigations
- Uniform controllability properties for space/time-discretized parabolic equations
- Optimal design of the damping set for the stabilization of the wave equation
- Optimal shape and position of the support for the internal exact control of a string
- 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
- Numerical approximation of bang-bang controls for the heat equation: an optimal design approach
- Optimal location of controllers for the one-dimensional wave equation
- Variation and optimization of formes. A geometric analysis
- Optimal shape and position of the actuators for the stabilization of a string
- Long Time Behavior of a Two-Phase Optimal Design for the Heat Equation
- Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
- The zero set of a solution of a parabolic equation.
- Unique Continuation and Control for the Heat Equation from an Oscillating Lower Dimensional Manifold
- Approximate controllability of the semilinear heat equation
- Exact controllability of the 1-d wave equation from a moving interior point
- A Spillover Phenomenon in the Optimal Location of Actuators
- Linear-Quadratic Optimal Actuator Location
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