Equivalent conditions for the solvability of nonstandard and singular LQ-problems with application to parabolic equations

DOI10.1023/A:1021789510611zbMath0948.49017OpenAlexW230119560WikidataQ101425920 ScholiaQ101425920MaRDI QIDQ1291819

K. Appert

Publication date: 10 June 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021789510611

zbMATH Keywords

optimal controlheat equationEuler-Bernoulli and Kirchhoff equationsnonstandard Riccati equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Heat equation (35K05) Linear-quadratic optimal control problems (49N10)

Cites Work

• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
• Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. II: The general case
• A singular control approach to highly damped second-order abstract equations and applications
• Input dynamics and nonstandard Riccati equations with applications to boundary control of damped wave and plate equations
• Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups—II. The general case
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