DocumentCode
1183032
Title
A nonlinear state decomposition
Author
Olivier, Philip D. ; Saeks, Richard
Volume
27
Issue
11
fYear
1980
fDate
11/1/1980 12:00:00 AM
Firstpage
1113
Lastpage
1121
Abstract
An axiomatic state model for nonlinear operators on a Hilbert resolution space is constructed. We use it to show that the structure (transition operators and isomorphism theorems) of nonlinear operators has much in common with that of linear operators. In addition to the structure, the principle of optimality is shown to carry over.
Keywords
Hilbert spaces; Nonlinear system theory; Nonlinear systems; Analytical models; Functional analysis; H infinity control; Hilbert space; Linear systems; Power system modeling; Regulators; State estimation; Stochastic systems; Vectors;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1980.1084748
Filename
1084748
Link To Document