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Titlebook: Control Theory in Physics and other Fields of Science; Concepts, Tools, and Michael Schulz Book 2006 Springer-Verlag Berlin Heidelberg 2006

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Optimal Control of Stochastic Processes,isturbances originate by the hidden irrelevant degrees of freedom. Although we may formally separate the dynamics of relevant and irrelevant variables into different contributions to the equations of motion, see Sect. 1, the timedependence of the terms concerning the irrelevant degrees of freedom is
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Filters and Predictors,timal deterministic control curve trajectory .(.) and the corresponding optimum control u.(.) by the methods described in Chap. 7 by neglecting all noise terms, then we may write the desired evolution equation:
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Optimization Problems,xtremum of a given function. These are typical optimization problems. Most of the instructive problems which have been presented in the previous chapters were relatively simple. Since only few degrees of freedom are considered, these problems were solvable by empirical concepts or by standard analyt
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https://doi.org/10.1007/978-3-658-07657-3ine for the following chapter, namely for the translation of the previously demonstrated variational method for the control of systems with a finite set of degrees of freedom to the variational method for the control of fields.
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Control Theory in Physics and other Fields of ScienceConcepts, Tools, and
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