Title :
A nonlinear state decomposition
Author :
Olivier, Philip D. ; Saeks, Richard
fDate :
11/1/1980 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1980.1084748
