Feedback stabilization of a boundary layer equation

DOI10.1051/cocv/2010017zbMath1243.93088OpenAlexW2077447900MaRDI QIDQ3008432

Jean-Marie Buchot, Jean-Pierre Raymond

Publication date: 15 June 2011

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197277

zbMATH Keywords

Riccati equationfeedback control lawboundary layer equationsdegenerate parabolic equationsCrocco equationunbounded control operator

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Degenerate parabolic equations (35K65) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (1)

Degenerate parabolic operators of Kolmogorov type with a geometric control condition

Cites Work

• The linearized Crocco equation
• Representation and control of infinite dimensional systems
• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• An example in linear quadratic optimal control
• An optimal control problem with unbounded control operator and unbounded observation operator where the algebraic Riccati equation is satisfied as a Lyapunov equation
• On the global existence of solutions to the Prandtl's system.
• Extended algebraic Riccati equations in the abstract hyperbolic case
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
• Algebraic Riccati Equation Arising in Boundary Control Problems
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