Sentence examples for linearized differential equations from inspiring English sources

The MTL-based linearized differential equations thus become explicitly integrable.

Furthermore, a transistor level view of the system employs component models based on linearized differential equations and works in the continuous time domain.

A system response matrix method, which directly solves the linearized differential equations in the matrix form without Laplace transformation, is introduced for the supercritical fluids flow instability analysis.

Here the state variables for each finite element are determined by linearized differential equations, and a coordination step is used to update the control variables and integration length.

(2) The fourth order system of linearized differential equations of the DS buckling in a curvilinear channel is deduced with the use of differential geometry methods, theory of channel surfaces, and classical mechanics of systems with nonlinear constraints.

It starts by deriving a mathematical model of UPFC, with which its linearized differential equations are integrated to design an overall control strategy for enhancing small signal stability of the so connected power systems.

The analysis is linearized and a mathematical model having the form of a set of linear differential equations with periodic coefficients is obtained.

Using (phi _{1} = phi _{c} + tilde{phi }) for (mid phi _{c}mid gg mid tilde{phi }mid ), Eq. (21) can be linearized to the second-order linear differential equation begin{aligned} frac{mathrm{d}^{2}tilde{phi }}{mathrm{d}chi ^{2}}+frac{C}{B}frac{mathrm{d}tilde{phi }}{mathrm{d}chi }+ frac{u_{0}}{2B}tilde{phi }=0}

The nonlinear equation should be linearized about the corresponding equilibrium state to obtain the linear differential equation of motion.

Utilizing the theory of linear differential equation and the precise time-integration method, an exact solution for linearizing equation was obtained.

Linear differential equation.