On the theory of necessary optimality conditions for a problem with distributed parameters (Q1395184)

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scientific article; zbMATH DE number 1940587
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On the theory of necessary optimality conditions for a problem with distributed parameters
scientific article; zbMATH DE number 1940587

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    On the theory of necessary optimality conditions for a problem with distributed parameters (English)
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    29 June 2003
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    In this paper the author stydies a singular case in the control problem determined by a sysem of nonlinear hyperbolic equations presented in a canonical form and derives second-order necessary optimality conditions. Such control problems appear in optimizing a number of chemical-engineering processes. The approach adopted is based on the construction of a new formula for the increment of second order for the objective functional.
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    control problem
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    necessary optimality conditions
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    Pontryagin maximum principle
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    singular case
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    nonlinear hyperbolic equations
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