Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation (Q1682904)
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scientific article; zbMATH DE number 6815865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation |
scientific article; zbMATH DE number 6815865 |
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Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation (English)
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6 December 2017
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The authors consider time-optimal control problems for the wave equation with two-sided boundary controls in classes of weak generalized solutions. The aim is to drive the system to a given fixed terminal state in the shortest time. By modifying algorithms proposed by themselves in an earlier work [Proc. Steklov Inst. Math. 291, 102--117 (2015; Zbl 1342.35419); translation from Tr. Mat. Inst. Steklova 291, 112--127 (2015)] for the case of stronger generalized solutions, they develop stable algorithms for computing optimal times and optimal boundary controls. Numerical experiments are also presented.
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wave equation
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boundary control
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time-optimal control
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inexact data
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approximate solution
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convergence
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0.9576099
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0.93157864
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0.9301728
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0.9240366
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