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• W3046139511 abstract "In this paper we present an optimal error estimate for hp-C0 finite element approximations of distributed parameter LQR control problems. We show that if the control weighting operators are sufficiently smooth, then the solutions of the corresponding infinite dimensional Operator Riccati Equations that define optimal feedback gain operators retain the same order of smoothness. In this case, one can extend convergence results previously obtained for parabolic control problems to a general class of distributed parameter LQR control problems. Convergence and optimal error estimates are provided for a general class of control systems when the system operator generates a compact analytic semigroup In addition, these new results eliminates the log term appearing in previous papers and applies to parabolic PDE systems and hyperbolic problems with sufficient damping. The basic theory is presented in an abstract space framework and then applied to systems modeled by parabolic and damped hyperbolic PDEs. Examples are provided to illustrate the theory." @default.
• W3046139511 created "2020-08-03" @default.
• W3046139511 creator A5013791825 @default.
• W3046139511 creator A5047913546 @default.
• W3046139511 date "2020-07-01" @default.
• W3046139511 modified "2023-10-06" @default.
• W3046139511 title "Optimal Error Estimates for hp - Finite Element Approximations of Distributed Parameter LQR Control Problems" @default.
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• W3046139511 doi "https://doi.org/10.23919/acc45564.2020.9147637" @default.
• W3046139511 hasPublicationYear "2020" @default.
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