Two existing Hammerstein-Wiener identification algorithms and a third novel Hammerstein-Wiener identification algorithm are considered for application to the magnetospheric system. A modified subspace algorithm that allows missing data points is described and used for identifying periodically switching Hammerstein-Wiener models, to capture the periodically time-varying nature of the system. The...

In this work we focus on location and approximation of a solution nonlinear integral equations Hammerstein-type when the kernel is non-separable through high order iterative process. For purpose, approximate by means separable then, perform complete study about convergence criteria for approximated obtained to our first problem. Different examples have been tested in apply theoretical results.

We discuss the solvability of a fairly general class systems perturbed Hammerstein integral equations with functional terms that depend on several parameters. The nonlinearities and functionals are allowed to components system their derivatives. results applicable nonlocal second order ordinary differential subject boundary conditions, this is illustrated in an example. Our approach based class...

Introduction: Block-oriented structures are useful to model a nonlinear system. Applications range from RF amplifiers over chemical processes to physiological systems [1]. A block-oriented model consists of two types of blocks: Linear Time Invariant (LTI) and static nonlinear blocks. The most simple block-oriented model structures are the Wiener (a LTI block followed by a static nonlinear block...

Abstract The purpose of this paper to establish the semilocal convergence analysis three-step Kurchatov method under weaker conditions in Banach spaces. We construct recurrence relations assumption that involved first-order divided difference operators satisfy $$\omega $$ ω condition. Theorems are given for e...

We present an alternative approach to the vector version of Krasnosel’skiĭ compression–expansion fixed point theorem due Precup, which is based on index. It allows us obtain new general versions this and also multiplicity results. emphasize that all them are coexistence theorems for operator systems, means every component points obtained non-trivial. Finally, these applied results concerning ex...

There are various numerical methods to solve nonlinear integral equations. Most of them transform the integral equation into a system of nonlinear algebraic equations. It is cumbersome to solve these systems, or the solution may be unreliable. In this paper, we study the application of the fixed point method to solve Volterra-Hammerstein integral equations. This method does not lead to a nonlin...

Hammerstein systems form a class of block-oriented nonlinear models, where a static nonlinearity precedes a linear dynamic system. There exist a large number of works on the topic of identification of Hammerstein systems in the literature. The methods of Hammerstein identification can be classified as the ten methods in Section 3.9 of [7] or the four groups in Chapter 1 of [8]. This chapter foc...

In this paper, we obtained a necessary and sufficient condition for the embedding H?q([0,1])? IBVqp([0,1]), where IBVq p denotes set of functions bounded q-integral p-variation. Additionally, conditions composition superposition operators were provided to map space H?q([0,1]) into itself, by which these bounded. Finally, applied results examine existence uniqueness solutions Hammerstein integra...