DocumentCode
824960
Title
On a multidimensional 
-transform and the realization problem for homogeneous nonlinear systems
Author
Mitzel, Glenn E. ; Rugh, Wilson J.
Author_Institution
Johns Hopkins University, Baltimore, MD, USA
Volume
22
Issue
5
fYear
1977
fDate
10/1/1977 12:00:00 AM
Firstpage
825
Lastpage
830
Abstract
A multidimensional -transform, related to the multidimensional Laplace transform, is defined in an algebraic fashion. Some properties of this transform with regard to nonlinear system representation are discussed. In particular the -transform representation leads to a solution of a realization problem for stationary, homogeneous, degree 
nonlinear systems. For ease of exposition the results are presented for the two-dimensional case only.
-transform, related to the multidimensional Laplace transform, is defined in an algebraic fashion. Some properties of this transform with regard to nonlinear system representation are discussed. In particular the -transform representation leads to a solution of a realization problem for stationary, homogeneous, degree nonlinear systems. For ease of exposition the results are presented for the two-dimensional case only.Keywords
Nonlinear systems, continuous-time; Realization theory; Transforms; Volterra series; Algebra; Artificial intelligence; Cost function; Estimation theory; Filtering; Minimax techniques; Multidimensional systems; Nonlinear filters; Nonlinear systems; Stochastic processes;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1977.1101600
Filename
1101600
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