Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions

DOI10.1007/s00526-009-0259-9zbMath1198.35278arXiv0902.2091OpenAlexW1991648941MaRDI QIDQ848873

Irena Lasiecka, Francesca Bucci

Publication date: 23 February 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2091

zbMATH Keywords

Riccati equationboundary regularity propertiescritical quadratic functionalsfeedback synthesis of optimal control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items (16)

Improved boundary regularity for a Stokes-Lamé system ⋮ Adaptive boundary control of store induced oscillations in a flexible aircraft wing ⋮ Optimal control of a linear unsteady fluid-structure interaction problem ⋮ Analysis of Linear Partial Differential Equations Using Convex Optimization ⋮ On the infinitesimal generator of an optimal state semigroup ⋮ Minimizing drag in a moving boundary fluid-elasticity interaction ⋮ Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations ⋮ Small data global existence for a fluid-structure model ⋮ Exponential Decay Properties of a Mathematical Model for a Certain Fluid-Structure Interaction ⋮ The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach ⋮ On the differentiability of fluid-structure interaction problems with respect to the problem data ⋮ Sharp trace regularity for an anisotropic elasticity system ⋮ Boundary control of flexible aircraft wings for vibration suppression ⋮ Riccati equations for generalized singular estimate control systems ⋮ On well-posedness for a free boundary fluid-structure model ⋮ Optimal control in a free boundary fluid-elasticity interaction

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