High level interior and boundary regularity results of the euler-bernoulli equation with application to differential riccati equations in optimal control1

DOI10.1080/01630569908816898zbMath0939.35027OpenAlexW1968446608WikidataQ115301602 ScholiaQ115301602MaRDI QIDQ4257051

Roberto Triggiani

Publication date: 1 December 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816898

zbMATH Keywords

infinite speed of propagationnon-hyperbolic Euler-Bernoulli equation

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
• Riccati equations for nonsymmetric and nondissipative hyperbolic systems with \(L_ 2\)-boundary controls
• A direct study of the Riccati equation arising in hyperbolic boundary control problems
• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
• Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
• An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P. D. E. s with boundary control and slightly smoothing observation
• Riccati Equations for Hyperbolic Partial Differential Equations with $L_2 (0,T;L_2 (\Gamma ))$—Dirichlet Boundary Terms
• L₂ is a continuable initial condition for kreiss' mixed problems

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