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• W2043955319 abstract "Barbu and Triggiani (Indiana Univ. Math. J. 2004; 53:1443–1494) have proposed a solution of the internal feedback stabilization problem of Navier–Stokes equations with no-slip boundary conditions. They have shown that any unstable steady-state solution can be exponentially stabilized by a finite-dimensional feedback controller with support in an arbitrary open subset of positive measure. The finite dimension of the feedback controller is minimal and is related to the largest algebraic multiplicity of the unstable eigenvalues of the linearized equation. The feedback law is obtained as a solution of a linear-quadratic control problem. In this paper, we formulate a practical algorithm implementation of the proposed stabilization approach, based on the finite element method, and demonstrate its applicability and effectiveness using an example involving the stabilization of two-dimensional Navier–Stokes equations." @default.
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• W2043955319 date "2008-02-18" @default.
• W2043955319 modified "2023-10-17" @default.
• W2043955319 title "Internal Optimal Controller Synthesis for Navier–Stokes Equations" @default.
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• W2043955319 doi "https://doi.org/10.1080/01630560701872458" @default.
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