Sentence examples for laws were utilized from inspiring English sources

Finite element simulations, allowing elastic plastic deformation, and mixed-mode crack growth laws were utilized to demonstrate that the fatigue crack growth rates display a minimum after a finite amount of crack advance.

The element-wise and norm-wise adaptive laws are utilized to compensate the parametric uncertainties of chaser and target spacecraft, respectively.

A comparison with the existing observer shows that the proposed observer can achieve a faster parameter adaptation and a robust synchronization for an uncertain TSFBS with disturbances when the adaptive laws are utilized.

"Our data shows that when red flag laws are utilized, they have the effect of preventing large numbers of suicides," Aaron Kivisto, an assistant professor of clinical psychology at the University of Indianapolis, told HuffPost.

The learning-based updating law is utilized to compensate for periodic time-varying parametric uncertainties.

For the recovery stage, the recovery controller, as well as the properly designed resetting law, is utilized to guarantee finite number of switches and the resulting asymptotic tracking.

According to four saturation cases, switching of four integrating functions in the control law is utilized and four Lyapunov functions, such as hybrid control, are derived.

Due to the nonlinear property of dynamic model, computed torque control law is utilized for the three degree-of-freedom (3-DOF) system motion control.

A simple analytical approach based on the ABCD law is utilized to optimally design the parameters of the hemispherically-ended GIF taper.

A non-linear drag law is utilized in the large-scale application to parameterize turbulent losses due to bottom friction at high Reynolds number.

In the ARC algorithm, discontinuous projection based parameter adaptive law is utilized to estimate unknown system parameters, and robust control law ensures the robustness of closed-loop control system.