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1. An optimality criterion in a control problem for a Sobolev-type linear equation.

Author

Plekhanova, M. and Fedorov, V.

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. [ABSTRACT FROM AUTHOR]

Published
2007
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