The result is a linear classifier, but SVM can still use linear models to implement nonlinear class boundaries thanks to a nonlinear mapping easily implemented with the "kernel trick" [23].
We examined relationships between levels of total metabolites and the corresponding air concentrations of benzene using nonlinear regression models (implemented with the SAS procedure NLIN; SAS Institute Inc., Cary, NC, USA).
In particular, a new robust nonlinear state estimation method is developed that can be digitally implemented with the aid of a computer.
In order to evaluate the efficiency and accuracy of such kinds of strategies, a comparative study is implemented with mathematical nonlinear test functions.
As it is seen from Fig. 4, there is a power functional relationship between curing factor (k curing ) and time of wet curing (t curing ) at early ages: {k}_{curing} = alpha times {t}_{curing}^{-m} (4 where "α" and "m" are coefficients varying with concrete mixture design, which are determined for different concrete mixtures with implementing the nonlinear regression on the experimental data.
Representing nonlinear systems by linear models along with structured or unstructured uncertainties and applying robust control strategies could reduce the computational complexity in comparison with implementing the nonlinear model predictive controllers.
There are two typical forms in implementing the nonlinear Kalman filter in conjunction with linearisation trajectory for which calculation of Jacobian matrices is involved: the linearised Kalman filter (LKF) and the extended Kalman filter (EKF).
In addition, the SDRE algorithm is implemented with a timing update strategy both for the controller and the proposed nonlinear filter.
In this section, we implement LAPM to the nonlinear fractional Riccati differential equations.
Finally, a rule-based, output feedback control, implemented with fuzzy logic, is coupled with a nonlinear feed-forward approach, and is examined under the same conditions applied to the first two techniques.
