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In our approach, approximate linear models are extracted at each time sample by instantaneous linearization of nonlinear fuzzy model and adaptive GPC is used.
In general, the authors should either not consider the exact solution of the approximate linear system or specify the parameter domain in which the linear approximation works.
The approximate linear equations correctly predict the non-linear vibration.
Approximate linear parametrizations of nonlinear friction are developed for adaptive friction compensator designs.
Attenuation results in a complex nonlinear relation between hydroperiod and D (Supplementary Fig. 3), as opposed to the approximate linear link between these variables when a simpler flow dynamics is considered12,13,14,15,16,17,18,28.
The conversion efficiency has an approximate linear relationship with the width.
A perturbation technique is used to obtain approximate linear equations for the non-linear equations.
The analysis has been done by using both non-linear and approximate linear equations.
The maximum explosion pressure has approximate linear relationship to the initial pressure.
The non-linear equations and approximate linear equations are solved numerically and the solutions compared.
The accuracy of an approximate linear model is quantified by the use of an average relative error.
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