CONTINUOUS NONLINEAR SYSTEMS

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 system's 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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 24, 1959
Accession Number
AD0246281

Entities

People

  • Donald A. George

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Closed Loop Systems
  • Control Systems
  • Convolution Integrals
  • Differential Equations
  • Electrical Engineering
  • Electronics
  • Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Integrals
  • Linear Systems
  • New York
  • Nonlinear Systems
  • Steady State
  • Time Domain

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Wave Propagation and Nonlinear Chaotic Dynamics.