nonlinear Hammerstein
Numerical solution of nonlinear Hammerstein integral equations by using Legendre-Bernstein basis
... In this paper, the unknown function has been extended in terms of Bernstein basis. And the kernel of nonlinear Hammerstein integral equa- tions has been extended by the least squares approximation of ...
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An Adaptive Nonlinear Filter for System Identification
... the nonlinear Hammerstein system using the plant input and output ...to nonlinear Hammerstein system identification is to formulate a criterion for designing a variable step-size a ffi ne ...
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Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... of nonlinear Volterra-Hammerstein integral ...the nonlinear Volterra-Hammerstein integral ...solving nonlinear Hammerstein integral equations and the solution can be obtained for ...
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On coupled systems of Hammerstein integral equations
... regards Hammerstein integral ...the Hammerstein equation of the first kind with a singular nonlinear term at the origin; in [8], the authors contribute, by monotone iterative methods, combined with ...
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A positive fixed point theorem with applications to systems of Hammerstein integral equations
... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the ...
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Hammerstein Model for Speech Coding
... A nonlinear Hammerstein model is proposed for coding speech ...of nonlinear frames. Motivated by this result, we present a nonlinear structure using a frame-by-frame adaptive identification of ...
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Data filtering-based least squares iterative algorithm for Hammerstein nonlinear systems by using the model decomposition
... This paper presents a least squares iterative algorithm and a filtering based least squares iterative algorithm for IN-OEAR systems by using the model decomposition technique. Compared with the D-LSI algorithm, the ...
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Nonlinear System Identification Using Hammerstein-Wiener Neural Network and subspace algorithms
... the Hammerstein-Wiener models and identify them. The Hammerstein-Wiener systems are the simplest type of block-oriented nonlinear systems where the linear dynamic block is sandwiched in between two ...
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Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type
... [20, 27]). Random fixed point theory was initiated in 1950s by Prague school of proba- bilists. Spacek [35] and Hans [17] established a stochastic analogue of the Banach fixed point theorem in a separable complete metric ...
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Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type
... Random fixed point theorems with an application to Random differential equations in Banach spaces are obtained by Itoh [8].. Sehgal and Waters [17] had obtained several random fixed poin[r] ...
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On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations
... [19] O. Scherzer, H.W. Engl and K. Kunisch, Optimal a posteriori param- eter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM. J. Numer. Anal., Vol.30, 6, 1993, pp. 1796-1838. [20] ...
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Nonlinear random operator equations and inequalities in Banach spaces
... In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces.. A random Hammerstein integral eq[r] ...
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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... In this paper, we have extended the idea of the modified Taylor-series expansion method from one dimensional Ham- merstein equation to multivariate Hammerstein equation. Then we have applied it to find the ...
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A Blind Hammerstein Diversity Combining Technique for Flat Fading Channels
... Diversity combining techniques play an important role in combating the destructive effects of channel fading in wireless communication systems. In this work, we present a blind diversity combining technique for Rayleigh ...
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A New Identification Approach of MIMO Hammerstein Model with Separate Nonlinearities
... A new coupled structure identification of Multi-Input Multi-Output (MIMO) Hammerstein models with separate nonlinearities is proposed. It is based on the use of the Recursive Least Squares (RLS) algorithm. A ...
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Existence and multiplicity results for some generalized Hammerstein equations with a parameter
... as Hammerstein equations (see [12]), has been considered by many ...of nonlinear analysis, as it can be seen, for instance, in [1–3, 7, 11, 13–17, ...
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A Note on Implicit Functions in Locally Convex Spaces
... The notion of osculating operators has been considered from different points of view see 2, 3. In this note we reformulate the definition of osculating operators. Our setting is a locally convex topological vector space. ...
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Nontrivial solutions of Hammerstein integral equations with reflections
... u (t) = h t, u(t), u(–t) , t ∈ [–T, T], u(–T) = u(T ). (.) The methodology, analogous to the one utilized by Torres [] in the case of ordinary dif- ferential equations, consists of two steps. First, we rewrite ...
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Self Tuning Control of a Nonlinear Stochastic Systems Described by a Hammerstein Mathematical Model
... We treat here an example of numerical simulation of the self- tuning control of a nonlinear dynamic stochastic system with unknown time-varying parameters and with a correlated noise. This numerical simulation ...
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Stability of ψ additive mappings: applications to nonlinear analysis
... Stability, nonlinear analysis, cone, homomorphism, eigenvalue, bifurcation, Hammerstein equation, completely continuous, operator, Banach spaces 1991 AMS SUBJECT CLASSIFICATION CODE: 47H[r] ...
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