Optimal control of a system governed by a parabolic equation with an infinite number of variables and time delay (Q1114154)
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scientific article; zbMATH DE number 4084434
| Language | Label | Description | Also known as |
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| English | Optimal control of a system governed by a parabolic equation with an infinite number of variables and time delay |
scientific article; zbMATH DE number 4084434 |
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Optimal control of a system governed by a parabolic equation with an infinite number of variables and time delay (English)
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1989
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A distributed control problem with delay for the parabolic operator with an infinite number of variables is considered. The performance index has an integral form. Constraints on controls are assumed. To obtain optimality conditions, the generalization of the Dubovicki-Milutin theorem given by \textit{S. Walczak}, ibid. 42, 561-582 (1984; Zbl 0504.52001), was applied.
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distributed control
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delay
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parabolic operator with an infinite number of variables
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optimality conditions
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Dubovicki-Milutin theorem
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