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The regulator problem for parabolic equations with dirichlet boundary control
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Pure and Applied Mathematics
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inferredcites →https://doi.org/10.1109/cdc.1985.268569openalex-snapshot
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The Linear Regulator Problem for Parabolic Systems
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Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
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inferred← citeshttps://doi.org/10.1002/acs.694openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/asjc.3627openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4419-8568-2_3openalex-snapshot
Some Results for the Adaptive Boundary Control of Stochastic Linear Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1007/978-1-4612-0427-5_21openalex-snapshot
Numerical Studies of the Linear Quadratic Control Problem for Retarded Systems with Delay in Control
inferred← citeshttps://doi.org/10.1007/978-1-4612-1784-8_29openalex-snapshot
Identification for Linear Stochastic Distributed Parameter Systems with Boundary/Point Control
inferred← citeshttps://doi.org/10.1007/978-1-4757-2105-8_12openalex-snapshot
Algebraic Riccati equations arising in boundary/point control: A review of theoretical and numerical results Part I: Continuous case
inferred← citeshttps://doi.org/10.1007/978-1-4757-2105-8_13openalex-snapshot
Algebraic Riccati equations arising in boundary/point control: A review of theoretical and numerical results Part II: Approximation theory
inferred← citeshttps://doi.org/10.1007/978-3-0348-6418-3_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-0348-8849-3_17openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-78234-3_3openalex-snapshot
Recent Advances in Regularity of Second-order Hyperbolic Mixed Problems, and Applications
inferred← citeshttps://doi.org/10.1007/978-3-7643-7721-2_12openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.chaos.2026.118003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2022.109664openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2005.09.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.sysconle.2024.105841openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s1474-6670(17)49155-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00207170701280895openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/01630568908816306openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/01630569008816377openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9947-03-03142-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-1991-1094953-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/acc.1994.735138openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cdc.1992.371551openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cdc.1993.325126openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cdc.1994.411673openalex-snapshot
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inferred← citeshttps://doi.org/10.1155/2014/643640openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/cmam-2018-0031openalex-snapshot
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inferred← citeshttps://doi.org/10.1515/cmam-2019-0026openalex-snapshot
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inferred← citeshttps://doi.org/10.3182/20120829-3-it-4022.00039openalex-snapshot
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inferred← citeshttps://doi.org/10.3233/asy-2010-1015openalex-snapshot
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