Some relaxation problems in optimal control theory (Q1096162)

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scientific article; zbMATH DE number 4030334
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English
Some relaxation problems in optimal control theory
scientific article; zbMATH DE number 4030334

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    Some relaxation problems in optimal control theory (English)
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    1987
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    The relaxed problem is defined for constrained minimum problems in an abstract setting, and properties of it are discussed. Applications to optimal control problems are considered. An explicit representation of the relaxed problem is obtained for dynamics of the form \(\dot x=a(t,x)+b(t,x)c(t,u)\), where x is the state variable, u the control variable.
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    constrained minimum problems
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    optimal control problems
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    relaxed problem
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