The identification algorithm of Wiener-Hammerstein nonlinear model is proposed in the paper. When the nonlinearity in the Wiener-Hammerstein model is approximated by polynomial or spline function, the identification algorithms can be implemented iteratively, and the compensator for the nonlinear distortion is given by using the estimated Wiener-Hammerstein model and its inverse. A numerical sim...

For the numerical treatment of Hammerstein equations by variational methods which has been considered by Hertling, we establish the stability in the sense of Mikhlin, Stetter and Tucker. Introduction. If one uses a variational method for the numerical treatment of Hammerstein equations, one obtains a nonlinear algebraic system of equations. In order to investigate the stability of the computing...

Abstract. This paper presents the synthesis and analysis of the enhanced predictive fuzzy Hammerstein model of the water tank system. Fuzzy Hammerstein model was compared with three other fuzzy models: the first was synthesized using Mamdani type rule base, the second – Takagi-Sugeno type rule base and the third – composed of Mamdani and Takagi-Sugeno rule bases. The synthesized model is invert...

A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values parameter being proven. analysis dynamical behavior this in context scalar equations presented. This study gives us important information about stability and reliability members family. numerical results obtained by applying different elements fa...

The local convergence analysis of a seventh order algorithm for solving nonlinear equations is presented inthe current discussion by assuming that the ?rst-order Fréchet derivative belongs to Lipschitz class. Thisapproach yields radii ball, error bound and uniqueness solution. Further, generalizationof study extended considering Hölder continuity condition. At last, we estimated theconvergence ...