DocumentCode :
824960
Title :
On a multidimensional 
-transform and the realization problem for homogeneous nonlinear systems
-transform and the realization problem for homogeneous nonlinear systemsAuthor :
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
Link To Document :
