The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach
DOI10.1080/00036811.2010.483766zbMath1225.35038OpenAlexW2008238312MaRDI QIDQ3006691
Jing Zhang, Roberto Triggiani, Irena Lasiecka
Publication date: 20 June 2011
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2010.483766
Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) (H^infty)-control (93B36) Initial-boundary value problems for second-order parabolic equations (35K20) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with control and optimization (35Q93)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system
- Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
- Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction
- Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions
- Backward uniqueness of the s.c. semigroup arising in parabolic-hyperbolic fluid-structure interaction
- Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface
- Min-max game theory and non-standard differential Riccati equations under the singular estimate for \(e^{At}B\) and \(e^{At}G\) in the absence of analyticity
- 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
- Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs
- Analysis of a linear fluid-structure interaction problem
- Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction
- Riccati equations for the Bolza problem arising in boundary/point control problems governed by \(C_{0}\) semigroups satisfying a singular estimate
- Differential Riccati equation for the active control of a problem in structural acoustics
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
- Backwards uniqueness of the $C_{0}$-semigroup associated with a parabolic-hyperbolic Stokes-Lamé partial differential equation system
- Optimization problems for structural acoustic models with thermoelasticity and smart materials
- Algebraic Riccati equations arising from systems with unbounded input-solution operator: applications to boundary control problems for wave and plate equations
