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Erschienen in:
2016 | OriginalPaper | Buchkapitel
12. General Optimal Control Problem
verfasst von : Leonid T. Aschepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal
Erschienen in: Optimal Control
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Abstract
The necessary optimality conditions in the general problem of optimal control are set out in several stages. Initially, for optimal process we construct a parameter family of “close” varied processes. The requirement for admissibility of varied processes leads to a finite auxiliary problem of nonlinear programming that depends on parameters of variation. The analysis of the auxiliary problem and the limiting transition by parameters of variation give the required necessary optimality conditions in the form of the Pontryagin maximum principle. We consider a using of the maximum principle for various particular cases of the general problem.