On the Volterra-series functional identification of non-linear discrete-time systems

1 July 1973

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 18 (6) , 1281-1289
https://doi.org/10.1080/00207177308932600

Abstract

The problem of determining the kernels in the discrete Volterra-series representation of a time-invariant non-linear discrete-time system is considered. The identification problem is transformed to an optimal control problem, which is then solved using dynamic-programming formulation. Examples illustrating the use of the techniques are presented.

Keywords

DYNAMIC PROGRAMMING
OPTIMAL CONTROL
VOLTERRA SERIES
SERIES FUNCTIONAL
LINEAR DISCRETE TIME
FUNCTIONAL IDENTIFICATION

This publication has 3 references indexed in Scilit:

On the functional identification of nonlinear systems for input-output data records
IEEE Transactions on Automatic Control, 1969
On Fitting With Functional Polynomials
Journal of Basic Engineering, 1967
A consideration of the discrete Volterra series
IEEE Transactions on Automatic Control, 1965