A new multiplier expansion is proposed to convert the synthesis condition to a linear matrix inequality (LMI) condition through the linearizing change of variables by Scherer, Masubuchi, de Oliveira et al. In the single objective setting, the LMI condition may or may not be conservative, depending upon the choice of the basis for the multiplier expansion.
In a previous paper [9] this problem was addressed by a linearizing change of variables approach under a certain assumption on the structure of the algebraic equations within the system description.
The considered class of systems is truly nonlinear in the sense that they cannot be linearized by coordinate change and output injection.
Especially, in the optimization procedure, the constraints are linearized with the changes of B-spline control points to change the whole optimization problem as a typical positive definite quadratic programming problem, which can achieve one and only global optimal solution.
Linearized 2−ΔCt (fold-change) measurements were used for miRNA and mRNA expression, and arbitrary units for PGC-1α and PDK4 protein content (Statistica 5.0, Statsoft, Tulsa, OK).
Figure S3 shows that the gold nanoparticles integrated with gold nanoplates have a tendency to be linearized, while other gold nanoparticles change from sphere-like nanoparticles to irregular polyhedron ones with crystal planes of lower energy exposed.
The code uses an iterative procedure in which the phase change rate is linearized as truncated Taylor series and then the old iteration values are used to compute the linear term.
Grasselli et al. [ 12] showed that squaring PVBC values linearized the regression slope obtained with ΔPes/ΔPtp with changes in NAVA levels, and it also moved the intercept closer to zero.
They also reduce the high sensitivity of the capacitance to the voltage change and linearize the C V response.
To determine the time point at which the 80%-threshold is reached, the change between the first score value exceeding the 80%-threshold and the prior score value is linearized.
