Necessary conditions of optimality for the quasi-singular relative to the component controls in the Goursat-Darboux systems (Q2814313)

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scientific article; zbMATH DE number 6595904
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Necessary conditions of optimality for the quasi-singular relative to the component controls in the Goursat-Darboux systems
scientific article; zbMATH DE number 6595904

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    21 June 2016
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    Goursat-Darboux system
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    quasi-singular control
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    Pontriagin maximum principle
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    Necessary conditions of optimality for the quasi-singular relative to the component controls in the Goursat-Darboux systems (English)
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    The authors give the definition of a control, which is quasi-singular. On its base new necessary optimality conditions are obtained for processes which are described by Goursat-Darboux systems. In some cases, the obtained results allow to identify those controls that satisfy Pontryagin's maximum condition without degeneration.
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