The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati's feedback synthesis and regularity of optimal solution

DOI10.1007/BF01442189zbMath0639.49002OpenAlexW2913727986MaRDI QIDQ1100421

Roberto Triggiani, Irena Lasiecka

Publication date: 1987

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01442189

zbMATH Keywords

Dirichlet boundary conditionsecond-order parabolic equationfeedback regulatorRegularityquadratic boundary control problemtime-independent operator Riccati equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic equations (35K20) Synthesis problems (93B50) Equations involving linear operators, with operator unknowns (47A62) Existence theories for optimal control problems involving partial differential equations (49J20)

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