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An optimal control problem for two-dimensional Schrodinger equation
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DOI：10.1016/j.amc.2011.12.028.png)
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摘要
En 中文
In this paper we consider an optimal control problem controlled by three functions which are in the coefficients of a two-dimensional Schrodinger equation. After proving the existence and uniqueness of the optimal solution, we get the Frechet differentiability of the cost functional using Hamilton-Pontryagin function. Then we state a necessary condition to an optimal solution in the variational inequality form using the gradient. (C) 2011 Elsevier Inc. All rights reserved.
Keyword:
Optimal control problem
Schrodinger equation
Hamilton-Pontryagin function
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期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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