FUNCTIONAL ANALYSIS APPLIED TO NONLINEAR FEEDBACK SYSTEMS.

Abstract

An operator theory is developed for the general, nonlinear, feedback loop. Necessary and sufficient conditions for the existence of solutions are derived, and methods for bounding system responses and investigating stability are introduced. An iterative expansion of the feedback loop, valid for large nonlinearities and unstable systems, is presented. The theory is applied to the study of nonlinear distortion in a class of amplifiers; it is shown that feedback reduces distortion for bandlimited inputs. A model of the distortion is obtained, shown to be stable, and an iteration whose rate of convergence is optimized is derived for it. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 10, 1963
Accession Number
AD0424936

Entities

People

  • George Zames

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Amplifiers
  • Closed Loop Systems
  • Convergence
  • Distortion
  • Feedback
  • Functional Analysis
  • Iterations
  • Mathematical Analysis

Fields of Study

  • Engineering
  • Mathematics
  • Physics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Robotics and Automation.