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However, western boundary observations and bottom velocity measurements are crucial in capturing the vertical structure of the MOC correctly.
Moreover, in the light of measured output data (boundary observations) f ( t ) : = u ( 0, t ) or/and h ( t ) : = k ( 1 ) u x ( 1, t ), the values k ( 0 ) and k ( 1 ) of the unknown diffusion coefficient k ( x ) at x = 0 and x = 1, respectively, can be determined explicitly.
Such models can reproduce zero (boundary) observations.
Similar(57)
We consider boundary output feedback stabilization for an unstable wave equation with boundary observation subject to a general disturbance.
We consider boundary output feedback stabilization for a multi-dimensional Kirchhoff plate with boundary observation suffered from a general external disturbance.
We are concerned with a particularly interesting case: boundary output feedback stabilization of one-dimensional wave equation system for which the boundary observation suffers a time delay.
We first show that an integral transformation converts the original system into another parabolic system with boundary observation if the weighting function satisfies a parameterized ordinary differential equation.
In this paper, we are concerned with the stabilization of an Euler Bernoulli beam equation with a constant disturbance on the boundary observation.
Carleman estimate (2.12) remains valid if we consider the boundary observation γ = { 0 } (respectively γ = { 1 } ) instead of the interior observation ω.
□. 1. Carleman estimate (2.12) remains valid if we consider the boundary observation γ = { 0 } (respectively γ = { 1 } ) instead of the interior observation ω.
Carleman estimate (3.15) remains valid if we consider the boundary observation γ = { 0 } (respectively γ = { 1 } ) instead of the interior observation ω (see Remark 2.4).
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