Reduction in optimal control theory |
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| Authors: | Eduardo Martí nez |
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| Affiliation: | Departamento de Matemática Aplicada, Universidad de Zaragoza Pedro Cerbuna 12, E-50009 Zaragoza, Spain |
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| Abstract: | A geometric setting for the Pontryagin maximum principle in optimal control theory is provided. The equations for critical trajectories are given in terms of a symplectic equation. These equations are generalized to the framework of Lie algebroids, giving thus a way to study reduction by symmetry groups of the maximum principle. |
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| Keywords: | Optimal control symmetry and reduction Lie algebroids |
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