Accession Number:

ADA071063

Title:

Nonlinear System Identification Based on a Fock Space Framework.

Descriptive Note:

Final rept.,

Corporate Author:

RICE UNIV HOUSTON TEX DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

Report Date:

1979-05-01

Pagination or Media Count:

48.0

Abstract:

A method is presented for the identification of a nonlinear system represented by an operator VE yields Y, where the input space E is a separable Hilbert space over the field of complex numbers and the output space Y is the Sobolev space Hn-squared of complex-valued functions y on an interval I of the real line such that dkydtk, kO,...,n-1, are absolutely continuous and dnydtn and element of L-squared I. The above developments permit us to obtain the solution to our nonlinear system identification problem as the solution to an appropriate minimum norm problem in Bn-squared I.F sub rhoE. Procedures for obtaining both the noncausal and causal solutions are given. We also introduce the concept of epsilon-causality, which is weaker than that of causality, and derive an epsilon-causal solution to our problem. The case when measurement errors are present is finally considered.The results are illustrated by the computer simulation of a simple example in which very good agreement with the theory is obtained over a wide time-interval.

Subject Categories:

  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE