Titlebook: Applied Optimal Control Theory of Distributed Systems; K. A. Lurie Book 1993 Springer Science+Business Media New York 1993 distributed sys

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Mathematical Concepts and Methods in Science and Engineeringhttp://image.papertrans.cn/b/image/160008.jpg

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Herkunft und Bedeutung der PersonalberatungMany classical problems of mathematical physics can be formulated as extremal problems for certain functionals. Such a formulation allows a natural definition of solutions of the corresponding boundary-value problem (generalized solutions); in addition, the formulation is well-suited to the use of direct methods of the calculus of variations.

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https://doi.org/10.1007/978-3-531-93432-7Hitherto, the general method of Chapter 2 has been illustrated by examples of elliptic optimization problems. The method also works effectively in hyperbolic optimization problems; the investigation of problems of this class presents a number of particular features which will be considered in the present chapter.

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https://doi.org/10.1007/978-3-662-57761-5The part played by Bellman’s method of dynamic programming in the theory of optimal control is well known. Together with Pontryagin’s maximum principle, this method is an important tool for solving problems of optimal control and it is especially well suited for the use of computers.

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The Mayer-Bolza Problem for Several Independent Variables: Necessary Conditions for a Minimum,Partial differential equations describing the behavior of distributed parameter systems can be represented in different forms. For optimization problems, a special form of expression of the equations is particularly convenient, and by analogy with the case of a single independent variable we shall call it the ..*

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Optimal Control of Systems Described by Equations of Hyperbolic Type,Hitherto, the general method of Chapter 2 has been illustrated by examples of elliptic optimization problems. The method also works effectively in hyperbolic optimization problems; the investigation of problems of this class presents a number of particular features which will be considered in the present chapter.