Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
نویسندگان
چکیده
منابع مشابه
Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
We study the exponential stabilization of the linearized Navier-Stokes equations around an unstable stationary solution, by means of a feedback boundary control, in dimension 2 or 3. The feedback law is determined by solving a Linear-Quadratic control problem. We do not assume that the normal component of the control is equal to zero. In that case the state equation, satisfied by the velocity f...
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The aim of this work is to design an explicit finite dimensional boundary feedback controller for stabilizing the equilibrium solutions to Navier-Stokes equations on a bounded and open domain in R, under the assumption that the unstable eigenvalues of the Stokes-Oseen operator are semisimple. The form of the stabilizing feedback is related to that one in [V. Barbu, 2012, [1]]. In comparison to ...
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We study the exponential stabilization of the linearized Navier-Stokes equations around an unstable stationary solution, by means of a feedback boundary control, in dimension 2 or 3. The feedback law is determined by solving a Linear-Quadratic control problem. We do not assume that the normal component of the control is equal to zero. In that case the state equation, satisfied by the velocity f...
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In this paper, we consider the stabilization of steady state solutions to Navier-Stokes equations by boundary feedback control. The feedback control is determined by solving a linear quadratic regulator problem associated with the linearized Navier-Stokes equations. The control is effected through suction and blowing at the boundary. We show that the linear feedback control provides global expo...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2006
ISSN: 0363-0129,1095-7138
DOI: 10.1137/050628726