Sentence examples for by using the linearization from inspiring English sources

We now study this problem by using the linearization system (2.14) and Theorem 4.5.

We then investigate the local stability of the three types of equilibrium points by using the linearization method.

In this section, we investigate the stability of the equilibrium points by using the linearization method and the Lyapunov direct method.

For example, Shi and Li [18] focused on the local and global stability of positive constant steady state by using the linearization method and the Lyapunov functional method.

On the basis of the free radial vibration problem for tube, we derived the formula for a dependency of eigenfrequency on RS distribution by using the linearization method.

We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point.

The linearization method is applied to approximate the nonlinear system by using the linearized model [36, 39].

Control parameters well suited for the practical implementation are found by optimization using the linearization of the closed loop system.

An autopilot is designed by using the feedback linearization technique.

Deterministic free vibrations of a three-cable network were investigated by using the "equivalent linearization method".

In this preliminary study, the free vibrations of the structure are investigated by using the "Equivalent Linearization Method".