Convergence Rates for the Feedback Operators Arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations

DOI10.1137/0728071zbMath0746.65055OpenAlexW2073507380WikidataQ125870638 ScholiaQ125870638MaRDI QIDQ3982652

Publication date: 26 June 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728071

zbMATH Keywords

comparison collocation method linear systems feedback control optimal control problem parabolic differential equations Convergence rates Riccati operator linear quadratic regulator problem infinite-dimensional Riccati equation finite element Galerkin scheme

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Stabilization of systems by feedback (93D15) Existence theories for optimal control problems involving partial differential equations (49J20)

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