Accession Number:

AD0270735

Title:

NONLINEAR OPERATORS FOR SYSTEM ANALYSIS

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS

Personal Author(s):

• ZAMES,GEORGE

Report Date:

1960-08-25

Pagination or Media Count:

1.0

Abstract:

The method of functional iteration as a means for solving nonlinear feedback equations is applied to a variety of feedback problems. Equations are written in terms of an operator algebra extracted from functional analysis and solved by geometric iteration. This method leads to a means of bounding the output in terms of the system loop gain, and to a procedure for synthesizing systems out of iterative physical structures. The theory is applied to the construction of an explicit model for the nonlinear distortion of a feedback amplifier, and to the proof of a theorem that states that a bandlimited signal having the width of its spectrum expanded by an invertible, nonlinear, no-memory filter can be recovered from only that part of the filtered signal which lies within the original passband a filter for recovering the original signal is derived. Author

Descriptors:

• *CONTROL SYSTEMS
• *FUNCTIONAL ANALYSIS
• *NONLINEAR DIFFERENTIAL EQUATIONS
• AMPLIFIERS
• ANALYTIC GEOMETRY
• INTEGRAL EQUATIONS
• MATRICES(MATHEMATICS)
• NONLINEAR SYSTEMS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE