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By means of the eigenfunction expansion method and a least square approach, a linear analytical solution is developed for the interaction of water waves with the breakwater.
Based on a Lyapunov approach, a linear control law and the state-space region in which this control law is activated are determined.
In the second approach, a linear structure modeling is implemented prior to PCA processing in an effort to enhance the results since cracks can be detected as linear structures.
Secondly, according to the singular value decomposition approach, a linear matrix inequality (LMI) finite-time boundedness criterion is developed, which can be used for constructing state feedback controllers directly.
In the online phase of this approach, a linear ROM is constructed in real-time at a queried but unsampled parameter point by interpolating the pre-computed linear reduced operators on matrix manifolds and therefore computing an interpolated linear ROM.
Using the free-space Green function and a variational approach, a linear system is obtained for the two unknowns of the problem, the sound pressure jump and the panel deflection.
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The HP method minimizes the variance of a series around a parameter that approaches a linear trend [16, 17].
Here we see that at low bias the slope of the curve is constant, and at high bias the curve turns down, approaching a linear behavior with a reduced slope.
For large Im, the LIF firing rate asymptotically approaches a linear dependence on input current.
Conversely, fertilization success approaches a linear function of hermaphrodite frequency, implying substantial pollen limitation, when a is high.
To avoid the computational demands of Bayesian approaches, a linear model approach that uses heteroscedastic marker variances for data sets with more genotypes than markers was proposed by Piepho (2009).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com