A parsimonious parameterization scheme is proposed to model the sparse Volterra filter so that the number of Volterra kernels to be estimated is greatly reduced. Representing the Volterra filter using a linear vector equation, the genetic algorithm is applied to search the significant terms among all possible candidate vectors. As the significant terms are detected, the associated Volterra kern...

This paper proposes an accurate numerical approach for computing the solution of two-dimensional fractional Volterra integral equations. The operational matrices integration based on Hybridization block-pulse and Taylor polynomials are implemented to transform these equations into a system linear algebraic error analysis proposed method is examined in detail. Numerical results highlight robustn...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 7 November 2019Accepted: 02 February 2021Published online: 20 April 2021Keywordsinfinite-dimensional Lyapunov equation, integral operator Riccati linear-quadratic control, stochastic Volterra equationsAMS Subject Headings47G10, 49N10, 34G20Publication DataISSN (print): 03...

We study a simple dynamical model exhibiting sequential dynamics. We show that in this model there exist sets of parameter values for which a cyclic chain of saddle equilibria, Ok, k = 1, . . . , p, have two dimensional unstable manifolds that contain orbits connecting eachOk to the next two equilibrium pointsOk+1 andOk+2 in the chain (Op+1 = O1). We show that the union of these equilibria and ...

We prove that for compatible weakly nonlocal Hamiltonian and symplectic operators, hierarchies of infinitely many commuting local symmetries and conservation laws can be generated under some easily verified conditions no matter whether the generating Nijenhuis operators are weakly nonlocal or not. We construct a recursion operator of the two dimensional periodic Volterra chain from its Lax repr...

In this paper, Adomian method has been applied to approximate the solution of fuzzy volterra-fredholm integral equation. That, by using parametric form of fuzzy numbers, a fuzzy volterra-fredholm integral equation has been converted to a system of volterra-fredholm integral equation in crisp case. Finally, the method is explained with illustrative examples.

This paper presents an original approach for nonlinear Volterra and NARMAX filter identification. We propose here to use a non persistent excitation of input sequence to excite few terms of the Volterra and NARMAX filter, which must satisfy a set of physical constraints. Expressions have been developped to evaluate the accurate number of excited terms of the Volterra and NARMAX filter.

In this paper we present a new approach for linear Volterra integral equations that is based on optimal control theory. Some optimal control problems corresponding Volterra integral equation be introduced which we solve these problems by discretization methods and linear programming approaches. Finally, some examples are given to show the efficiency of approach. Index Terms —Volterra integral e...

The Volterra series can be used to model a large subset of nonlinear, dynamic systems. A major drawback is the number of coefficients required model such systems. In order to reduce the number of required coefficients, Laguerre polynomials are used to estimate the Volterra kernels. Existing literature proposes algorithms for a fixed number of Volterra kernels, and Laguerre series. This paper pr...

This paper mainly studied the LMS adaptive filter algorithm to the Volterra system model. Through the construction of the second order Volterra system model, the application of respectively selecting the first order and second order variable step length de-correlation Volterra LMS algorithm in gaussian noise environment, when the input signals in different correlation coefficient, the iteration...