Titlebook: Computational Methods in Optimal Control Problems; I. H. Mufti Book 1970 Springer-Verlag Berlin Heidelberg 1970 Control.Optimal control.TH

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Second-Variation Method,-point boundary value problem which is the same as the one discussed in the successive sweep method. Since the two methods lead to the same auxiliary two-point boundary value problem, the method will be illustrated by means of a problem with fixed terminal time and no constraints of the form (2) or (3).

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Concluding Remarks, advantageous to use a combination of two methods in such a way that we get a rapid initial convergence and a rapid final convergence. This may be achieved, for example, by starting the Computation with the conjugate gradient method and ending with the successive sweep method or the generalized Newton-Raphson method.

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Book 1970s for the solution of optimal control problems. Only those methods that are based on the minimum (maximum) principle of Pontriagin are discussed here. The autline of the report is as follows: In the first two sections a control problem of Bolza is formulated and the necessary conditions in the form

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浮雕寶石

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Concluding Remarks, method is better (in the sense of the simplicity of formulation, convergence, computer time and computer storage) than the others in all situations. Each method, therefore, must be judged in the light of the problem at hand. For the purpose of constructing a general optimization technique it may be

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