An optimality criterion in a control problem for a Sobolev-type linear equation |
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Authors: | M V Plekhanova V Ye Fedorov |
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Affiliation: | (1) Chelyabinsk State University, Chelyabinsk, 454 080, Russia |
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Abstract: | The necessary and sufficient conditions for solving an optimal control problem with a quadratic cost function for a system, whose state is described by a linear confluent equation in Hilbert spaces are obtained. We apply these results for investigating an optimal control problem for the Dzektser equation of the evolution of the free surface of a filtering fluid. |
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