Sentence examples for deviation responses from inspiring English sources

Calculations are presented of the mean and standard deviation responses to an amplitude modulated non-white random excitation of the displacement of the liquid surface and the deformation of the walls.

By doing this, there will be many alternative solutions (i.e., the trade-offs between the mean and standard deviation responses) of the DRS problem and Pareto optimization can explore them all.

The value of (alpha_{d}) satisfies the convergence condition of deviation response expressed as (30).

While filtering away the deviation response, the designed filter should not modify the expected response component (c_{wt} (k)).

Note that the deviation response defined in (20) is a regular sequence, which is amplified at each step.

Note that this filter aims to mitigate the divergent deviation response stimulated by the time delay in acceleration observation.

Accordingly, the stability condition of the closed-loop WTS is approximately equivalent to the convergence condition (30) of deviation response (c^{prime}_{d} (k)).

Therefore, by employing the first-order filter and setting its coefficient (alpha_{d}) according to (30), the deviation response (c^{prime}_{d} (k)) is mitigated and the pulse response of WTS converges to that of WT.

As shown in Fig. 17, the stable trajectories demonstrate that the filter designed for mitigating the deviation response does work and the WTS with (J_{t} = 3J_{s}) is stabilized.

When (J_{t} /J_{s} ge 2), i.e., the stability condition (15) is not satisfied, the deviation response (c_{d} (k)) is divergent and leads to the instability of WTS.

Experimental case II: Then, the first-order filter is added in the torque compensation loop and its coefficient is determined as 0.9 that satisfies the convergence condition of deviation response (30).