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Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints - MaRDI portal

Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints (Q1199066)

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scientific article; zbMATH DE number 93392
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Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints
scientific article; zbMATH DE number 93392

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    Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints (English)
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    16 January 1993
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    The author considers the problem of minimizing, in a Hilbert space, a quadratic functional subject to quadratic constraints. If the objective and constraint functionals (which may be nonconvex) satisfy certain conditions, a separation argument applies yielding a multiplier type result. As an application a stationary infinite-horizon linear-quadratic control problem is solved.
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    nonconvex optimization in Hilbert space
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    quadratic constraints
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