Expansions for discrete-time nonlinear systems
type: Item
instance of: scholarly article
title: Expansions for discrete-time nonlinear systems
zbMATH Open document ID: 0542.93046
DOI: 10.1007/BF01599157
published in: Circuits, Systems, and Signal Processing
publication date: 1983-01-01T00:00:00Z
review text: The author studies systems given by the equations \(x=Av+Cy\), \(w=Dv+By\), \(y=Nx\), where x,y,v,w are functions of discrete time \(t=0,1,...\), with values in \({\mathbb{C}}^ n\); A,B,C,D are linear operators and N is a nonlinear operator. Volterra type representations for the input-output operator \(v\to w\) are presented. Analogous results for continuous-time systems were obtained earlier by the same author [Bell. Syst. Tech. J. 61, 159-199 (1982; Zbl 0503.93032)].
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B15
zbMATH DE Number: 3863049
zbMATH Keywords: Volterra type representations
author: Irwin W. Sandberg
MaRDI profile type: Publication
cites work: Expansions for Nonlinear Systems*
cites work: Volterra Expansions for Time-Varying Nonlinear Systems
cites work: A discrete ARMA model for nonlinear system identification
cites work: Q3258501
cites work: Q3967411
cites work: Q3818918
cites work: Series expansions for nonlinear systems
description: scientific article; zbMATH DE number 3863049