A new solution for the problem of selecting poles of the two-parameter Kautz functions in Volterra models is proposed. In general, a large number of parameters are required to represent the Volterra kernels, although this difficulty can be overcome by describing each kernel using a basis of orthonormal functions, such as the Kautz basis. This representation has a Wiener structure consisting of ...

The adaptation of Volterra lters by one particular method, the method of least mean squares (LMS), while easily implemented, is complicated by the fact that upper bounds for the values of step sizes employed by a parallel update LMS scheme are diicult to obtain. In this paper, we propose a modiication of the Volterra lter in which the lter weights of a given order are optimized independently of...

This work considers behavioral modeling, parameter-reduction, and digital predistortion of radio frequency power amplifiers. Due to the use of modern digital modulation methods, contemporary power amplifiers are frequently subjected to signals characterized by considerable bandwidths and fast changing envelopes. As a result, traditional quasi-memoryless amplitude-to-amplitude (AM/AM) and amplit...

We investigate linear energy preserving methods for the Volterra lattice equation as non-canonical Hamiltonian system. The averaged vector field method was applied to the Volterra lattice equation in bi-Hamiltonian form with quadratic and cubic Poisson brackets. Numerical results confirm the excellent long time preservation of the Hamiltonians and the polynomial integrals.

In this paper, the existence of 2 positive periodic solutions for n species non-autonomous Lotka-Volterra cooperative systems with harvesting terms is established by using Mawhin’s continuation theorem of coincidence degree theory and matrix inequality. An example is given to illustrate the effectiveness of our results. Keywords—Multiple positive periodic solutions; Nonautonomous Lotka-Volterra...

In this article the nonlinear mixed Volterra-Fredholm integral equations are investigated by means of the modified threedimensional block-pulse functions (M3D-BFs). This method converts the nonlinear mixed Volterra-Fredholm integral equations into a nonlinear system of algebraic equations. The illustrative examples are provided to demonstrate the applicability and simplicity of our scheme.

We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly. The results are established using theorems on the boundedness and convergence to a finite limit of solutions of linear discrete Volterra equations.

| 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.

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...