A nonlinear state decomposition
P.D. Olivier, Richard E. Saeks · IEEE Transactions on Circuits and Systems · 1980
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.