Finite-dimensional discrete-time Volterra models, also called truncated Volterra series expansions or non-recursive polynomial models, are now widely used in various fields of applications. Their usefulness is mainly due to their ability to approximate to an arbitrary accuracy any fading memory nonlinear system, and also to their property of linearity with respect to the parameters, the kernels...

A directional sound beam can be generated by a parametric loudspeaker system through the nonlinear interaction between finite-amplitude ultrasonic waves in air. However, this nonlinear interaction also produces harmonic components in addition to the desired audible sound. In order to investigate this nonlinear phenomenon, a baseband distortion model is developed from nonlinear system identifica...

Volterra lters have been applied to many nonlinear system identiication problems. However, obtaining good lter estimates from short and/or noisy data records is a diicult task. We propose a penalized least squares estimation algorithm and derive appropriate penalizing functionals for Volterra lters. An example demonstrates that penalized least squares estimation can provide much more accurate l...

| In this paper the identiication of non-linear systems by Volterra Systems (VS) and a special class of VS called Linearly decomposable Volterra Systems (LDVS) is considered. The results obtained for diierent nonlinear systems with VS and LDVS are studied in detail. A clear improvement in performance is observed if a LDVS is used instead of a VS.

In this paper we adapt Lavrent'ev method so to obtain a reconstruction procedure for the input u to a nonlinear input-output system described by a Volterra integral equation. The proof is based on a monotonicity assumption which does not imply the monotonicity of the operators appearing in the Volterra equation.

This paper describes a method of implementing thermal power feedback (TPF) into a 5th order nonlinear distortion analysis with Volterra-series. The main advantages of the Volterra analysis is that diferent thermal and electrothermal contributions of distortion can be separated, giving extensive information about dominant distortion mechanisms. As an example, electro-thermal distortion in a simp...

A numerical method for solving nonlinear Fredholm-Volterra integral equations is presented. The method is based upon Lagrange functions approximations. These functions together with the Gaussian quadrature rule are then utilized to reduce the Fredholm-Volterra integral equations to the solution of algebraic equations. Some examples are included to demonstrate the validity and applicability of t...

We consider a nonlinear Volterra-Fredholm integral equation NVFIE of the second kind. The Volterra kernel is time dependent, and the Fredholm kernel is position dependent. Existence and uniqueness of the solution to this equation, under certain conditions, are discussed. The block-byblock method is introduced to solve such equations numerically. Some numerical examples are given to illustrate o...

Lotka Volterra model and its modified forms have long become a major area of interest for periodic motions in nonlinear systems with competitive species. The model given by Volterra shows that its periodicity is dependent on initial condition. This characteristics allows us to calculate the effect of periodic seasonal changes on population densities of different species.

Volterra-Stieltjes integral equations have been studied in the space of continuous functions in many papers for example, (see [3]-[7]). Our aim here is to studing the existence of weak solutions to a nonlinear integral equation of Volterra-Stieltjes type in a reflexive Banach space. A special case will be considered.