Accession Number:

AD0246281

Title:

CONTINUOUS NONLINEAR SYSTEMS

Descriptive Note:

Technical rept.

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS

Personal Author(s):

Report Date:

1959-07-24

Pagination or Media Count:

106.0

Abstract:

A functional representation. which is a generalization of the linear convolution integral, is used to describe continuous nonlinear systems. Emphasis is placed on nonlinear systems composed of linear subsystems with memory, and nonlinear no-memory subsystems. An Algebra of Systems is developed to facilitate the description of such combined systems. From this algebraic description, multidimensional system transforms are obtained. Those transforms specify the system in much the same manner as one dimensional transforms specify linear systems. The system transforms and the transform of the systems input signal are then used to determine the transform of the output signal. Transform theory is also used for determining averages and spectra of the system output when the input is a random signal Gaussianly distributed. Certain theoretical aspects of the functional representation are discussed.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE