SIMPLIFIED ANALOG/HYBRID SOLUTIONS TO ALGEBRAIC EQUATIONS AND BOUNDARY-VALUE PROBLEMS,

Abstract

An experimental method is outlined for achieving the simplest possible stable feedback connections in a direct nulling solution of algebraic equations on an analog computer. A proof of stability for linear equations, sufficient conditions of constructability for nonlinear equations, and examples for both situations are given. In essence, the method requires a sensitivity test near the root, with the computer nulling previously connected residual errors. Once the feedback structure is obtained, the circuit automatically tracks solutions for wide variations of parameters. The technique is extended to analog/hybrid solutions of boundary-value problems, where feedback connections to accumulator circuits are determined experimentally. A five-parameter optimal control problem is solved automatically by this method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1969
Accession Number
AD0699345

Entities

People

  • Arthur Hausner

Organizations

  • Harry Diamond Laboratories

Tags

DTIC Thesaurus Topics

  • Accumulators
  • Analog Computers
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Computing Devices
  • Equations
  • Feedback
  • Residuals
  • Sensitivity

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Linear Algebra