LIMITED SUPERPOSITION IN PIECEWISE-LINEAR SYSTEMS

Abstract

Piecewise-linear systems of the type that arise in relay servomechanisms or problems involving Coulomb friction, which are usually regarded as nonlinear, are shown here to exhibit certain linear behavior. Specifically, for certain sets of input signals (or forcing functions) and associated responses, the responses are linear in the inputs with respect to convex linear combinations; equivalently, the average of a set of inputs has, as its response, the average of theASSOCIATED RESPONSES. The result is illustrated by means of an explicit formula for periodic responses in a second-order on-off control system. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 14, 1961
Accession Number
AD0262829

Entities

People

  • B.a. Fleishman

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Friction
  • Linear Systems

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Robotics and Automation.
  • Structural Dynamics.