Numerical approximation of bang–bang controls for the heat equation: An optimal design approach
نویسندگان
چکیده
منابع مشابه
Numerical approximation of bang-bang controls for the heat equation: An optimal design approach
This work is concerned with the numerical computation of null controls of minimal L∞-norm for the linear heat equation with a bounded potential. Both, the cases of internal and boundary (Dirichlet and Neumann) controls are considered. Dual arguments allow to reduce the search of controls to the unconstrained minimization of a conjugate function with respect to the initial condition of a backwar...
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15 صفحه اولTime optimal boundary controls for the heat equation
The fact that the time optimal controls for parabolic equations have the bang–bang property has been recently proved for controls distributed inside the considered domain (interior control). The main result in this article asserts that the boundary controls for the heat equation have the same property, at least in rectangular domains. This result is proved by combining methods from traditionall...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2013
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2013.04.009