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To facilitate the observer design, the system dynamics is modeled by considering a linearized approximation of the underlying nonlinear dynamics around the subcritical uniform flow condition.
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We begin by considering a neural field model that supports propagating pulled fronts, and determine the asymptotic wave speed by linearizing about the unstable state within the leading edge of the front (Section 2).
By considering a generic natural circulation loop configuration with a localized heat flux and a homogenously distributed Internal Heat Generation (IHG), the governing equations (mass, momentum and energy balance) are linearized around a steady-state solution of the system and treated by means of the Fourier transform to obtain dimensionless stability maps.
The feedback linearizing controller is designed considering a nominal model of the aircraft dynamic.
The new approach, namely, load incremental approach, is an attempt to solve the non-linear inverse problem of 3D photoelasticity by considering change in stress state for a load increment and linearizing the non-linear governing equation.
The proposed solution in [26] linearized the nonlinear problem by considering small position perturbation of each antenna element, and then derived analytic results.
We derived a subsidiary cell line, designated STF3A, by transfecting parental STF cells with a linearized pPGK + Wnt3A plasmid and a linearized blasticidin resistance plasmid for cell selection.
The other methods considered are linearized and comparisons are made for a relaxation problem and a radiation diffusion problem.
We linearize the above system of equations by considering small deviations from the equilibrium state ( n α < < n 0 α ; V α < < V 0 α ).
The spinover mode is then considered, by linearizing the equation of motion for the fluid.
Ji and Zhang [16] consider a deterministic global optimization algorithm by utilizing a transformation technique and a linearizing method.
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