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Optimal control of a system governed by a parabolic equation with an infinite number of variables |
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| Authors: | W. Kotarski |
| Affiliation: | (1) Institute of Mathematics, Silesian University, Katowice, Poland |
| Abstract: | A distributed control problem for a parabolic operator with an infinite number of variables is considered. The performance index is more general than the quadratic one an has an integral form. Making use of the Dubovicki-Milutin theorem, necessary and sufficient conditions of optimality are derived for the Dirichlet problem. |
| Keywords: | Parabolic operators with an infinite number of variables distributed control problems Dirichlet problem Dubovicki-Milutin theorem conical approximations necessary and sufficient conditions of optimality |
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