Sentence examples for by linearizing a nonlinear from inspiring English sources

The linear model is developed by linearizing a nonlinear model at an operating point.

In this paper, a linear parametric friction model is formulated by linearizing a nonlinear empirical friction model in parameters.

This model applies piecewise linear functions (PLFs) to linearize a nonlinear fuzzy interval for incorporating customers' satisfaction into other linear objectives.

Its fundamental idea is to linearize a nonlinear distortion model by a Taylor series [11, 51, 52].

A linear model is obtained by linearizing the nonlinear terms via the Taylor expansion from the static equilibrium position.

The linear model of AHWR, obtained by linearizing the nonlinear equations is found to be highly ill-conditioned.

The objective of the distance tracking is incorporated into the single nonlinear model predictive control (NMPC) by extending the original linear time invariant (LTI) models obtained by linearizing the nonlinear dynamic model of the vehicle.

At the second tier, actual control actions are determined in consideration of process constraints by solving a QP problem, which is formulated by linearizing the nonlinear model around the LQI trajectory.

Once the optimum values of β are obtained, the parameter uncertainties can be estimated by linearizing the nonlinear model function at the optimum point using the first-order Taylor series expansion method (Fox and Weisberg 2010).

In this section, the equivalent RLC circuit of each channel is obtained by linearizing their nonlinear dynamics.

A conceptual framework for studying such solutions is the linear spreading velocity υ*, which is the asymptotic rate with which an initial localized perturbation spreads into an unstable state based on the linear equations obtained by linearizing the full nonlinear equations about the unstable state.