# Generalized Laguerre Reduction of the Volterra Kernel for Practical Identification of Nonlinear Dynamic Systems

arXiv: https://arxiv.org/abs/1410.0741 · HTML: https://mlsanity.com/paper/1410.0741/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 3 Oct 2014.

## Built on by (most cited first, 1 of 1)

- [Parametric Nonlinear Volterra Series via Machine Learning: Transonic Aerodynamics](https://mlsanity.com/paper/2410.19514/) (2024)

## Abstract (arXiv)

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 presents a novel algorithm for generalized calculation of the finite order Volterra-Laguerre (VL) series for a MIMO system. An example addresses the utility of the algorithm in practical application.