Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints (Q5954336)

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scientific article; zbMATH DE number 1699573
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Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints
scientific article; zbMATH DE number 1699573

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    Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints (English)
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    16 May 2002
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    The author considers an optimization problem for a linear singularly perturbed system with a single fast variable in the case when this variable, as well as the control, is bounded in modulus. An algorithm is suggested for constructing asymptotic approximations of an arbitrary order of the solution to this problem.
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    optimal control
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    singular perturbation
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    asymptotics
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    algorithm
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    solution
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