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- W1769928452 abstract "This paper is concerned with a linear approximation problem in the dual space of a Banach space under countably many linear constraints. Problems of this kind appear as optimal control problems for distributed parameter systems.At first we establish, under three assumptions, a duality theorem which leads to a necessary and sufficient optimality condition. In the case where the problem lives in a Hilbert space this can be used in order to represent the unique solution of the problem as an infinite series whose coefficients are the unique solutions of an infinite system of linear equations.The results are applied to a problem of boundary control of a rotating homogeneous beam." @default.
- W1769928452 created "2016-06-24" @default.
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- W1769928452 date "1995-01-01" @default.
- W1769928452 modified "2023-09-27" @default.
- W1769928452 title "Linear Approximation under Infinitely Many Linear Constraints" @default.
- W1769928452 cites W109615418 @default.
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- W1769928452 doi "https://doi.org/10.1007/978-3-642-46823-0_18" @default.
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