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Application of the Euler-Lagrange-Method for solving optimal control problems: R

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In years past, calculus of variation, has been used to solve functional optimization problems. The objective function values for problems 3, 4, 6, 7, 8, 9 and 10 which are: 1.359141, -5.000, 0.36950416, 0.51699120, 0.27576806, 1.5934159x[10]^(-2) and -3.880763x[10]^(-2) appreciate to the existing results 1.359141, -5.000, 0.4146562, 0.613969, 0.2739811, 1.5935x[10]^(-3) and -3.9992x[10]^(-2) respectively while the objective function values for problems 1, 2 and 5 do not fully appreciate to the existing results with slight differences.

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