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Necessary integral conditions for the optimality of quasisingular controls in Goursat-Darboux systems - MaRDI portal

Necessary integral conditions for the optimality of quasisingular controls in Goursat-Darboux systems (Q1324055)

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scientific article; zbMATH DE number 584249
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English
Necessary integral conditions for the optimality of quasisingular controls in Goursat-Darboux systems
scientific article; zbMATH DE number 584249

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    Necessary integral conditions for the optimality of quasisingular controls in Goursat-Darboux systems (English)
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    24 July 1994
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    The author investigates necessary conditions -- in the ``degenerate'' or ``singular'' case -- for optimality of a class of ``final-value'' type control problems for second order (first order with respect to time, first order with respect to one-space variable) hyperbolic equations with Goursat-type boundary conditions (time-varying at one end). The main interest is in controls which satisfy the Pontryagin maximum principle without being optimal.
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    Goursat-Darboux systems
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    quasisingular control
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    necessary conditions
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    optimality
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    Pontryagin maximum principle
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