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Direct and indirect methods for trajectory optimization. (English) Zbl 0784.49023
Summary: This paper gives a brief list of commonly used direct and indirect efficient methods for the numerical solution of optimal control problems. To improve the low accuracy of the direct methods and to increase the convergence areas of the indirect methods we suggest a hybrid approach. For this a special direct collocation method is presented. In a hybrid approach this direct method can be used in combination with multiple shooting. Numerical examples illustrate the direct method and the hybrid approach.

49M30 Other numerical methods in calculus of variations (MSC2010)
49J15 Existence theories for optimal control problems involving ordinary differential equations
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