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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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https://doi.org/10.1007/978-3-658-07144-8t a common expression in natural sciences. That is all the more surprising, because both, scientific theories and scientific experiments, actually contain essential features of control theoretical concepts. This appraisal also applies to physics, although especially in this case many subdisciplines,
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https://doi.org/10.1007/978-3-658-07657-3e equations can be written as a set nonlinear first-order differential equations (2.53) which are essentially influenced by the control function .(.). Furthermore, let us assume that we have obtained the optimum trajectory .(.) and the optimum control .(.) by the methods described in the previous ch
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https://doi.org/10.1007/978-3-658-07657-3is well known that essential aspects of the classical mechanics can be translated into the language of field theory. Especially, there exist equivalent relations between the canonical formalism of the field theory and of the classical mechanics with respect to the Hamilton principle and the Euler–La
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Betriebswirtschaftliche Verrechnungspreise,, applicable to all deterministic evolution equations and leads, under correct formulated initial and boundary conditions and under a reasonable coupling between the control functions and the system, to an optimal control. The scope of these control methods is very large; however these methods requi
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Betriebswirtschaftliche Verrechnungspreise,ies of large systems by applying methods belonging to the statistical physics. In order to do this, we should have a general concept describing complex systems at microscopic scales. This description should fulfill two conditions. On the one hand, the approach should consider the apparent unpredicta
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https://doi.org/10.1007/978-3-658-07852-2timal 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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