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The 2D and 3D temperature and concentration perturbations have been found by solving the eigenvalue problem obtained by linearizing the model around the basic state.
Theoretical impedance profiles were obtained by linearizing the model at every chosen membrane potential (see Materials and Methods).
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In a neighborhood of the origin, the controller is formulated as an LQR based on a model obtained by linearizing the original model at the origin.
Then, linear control oriented models are obtained by linearizing the previous model and are used to design H∞ controllers to impose ride comfort and handling.
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.
By linearizing the SOSA model, natural frequencies and mode shapes of the rotating hub beam system with a constant angular velocity with and without the chordwise bending and stretching coupling effect are calculated and compared.
Both eigenmodes orthogonality analysis and transient growth analysis of flow disturbances are performed by linearizing the flame model and recasting it into the classical time-lag N−τ formulation.
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).
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.
The model bank is generated by linearizing the first principles model across a carefully designed trajectory based on its capability of multi-step ahead prediction.
The model bank is generated by linearizing the first principles model across a carefully designed trajectory based on accuracy of multi-step ahead predictions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com