Pontryagin maximum principle,relaxation, and controllability |
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Authors: | E R Avakov G G Magaril-Il’yaev |
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Abstract: | The relations between the necessary minimum conditions in an optimal control problem (Pontryagin maximum principle), the minimum conditions in the corresponding relaxation (weakened) problem, and sufficient conditions for the local controllability of the controlled system specifying the constraints in the original formulation are studied. An abstract optimization problem that models the basic properties of the optimal control problem is considered. |
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