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• W2073507380 endingPage "1385" @default.
• W2073507380 startingPage "1350" @default.
• W2073507380 abstract "The linear quadratic control problem for systems governed by evolution equations of parabolic type is considered. The optimal feedback control uses a Riccati operator which is approximated by a Galerkin scheme. Optimal convergence rates (except for a logarithmic factor) are derived for the approximation of the Riccati operator for both the finite and infinite time interval. This is done in an abstract Hilbert space framework assuming a certain rate of convergence for the uncontrolled system. In the numerical part, the Galerkin method is compared with the collocation method with special emphasis on the feedback gains." @default.
• W2073507380 created "2016-06-24" @default.
• W2073507380 creator A5073145917 @default.
• W2073507380 creator A5074607617 @default.
• W2073507380 date "1991-10-01" @default.
• W2073507380 modified "2023-09-25" @default.
• W2073507380 title "Convergence Rates for the Feedback Operators Arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations" @default.
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• W2073507380 doi "https://doi.org/10.1137/0728071" @default.
• W2073507380 hasPublicationYear "1991" @default.
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