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Relaxation in the optimal control problem for the Goursat-Darboux system |
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| Authors: | N I Pogodaev |
| Institution: | 1.Institute for System Dynamics and Control Theory,Irkutsk,Russia |
| Abstract: | We consider the optimal control problem for a system described by the Goursat-Darboux equation. The system is controlled by distributed and boundary controls satisfying mixed nonconvex constraints. For this problem we prove an analog of the classical Bogolyubov relaxation theorem. |
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