Accession Number : AD0262829

Title :   LIMITED SUPERPOSITION IN PIECEWISE-LINEAR SYSTEMS

Corporate Author : RENSSELAER POLYTECHNIC INST TROY N Y

Personal Author(s) : FLEISHMAN,B.A.

Report Date : 14 JUL 1961

Pagination or Media Count : 1

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)

Descriptors :   *LINEAR SYSTEMS, *SERVOMECHANISMS, DIFFERENTIAL EQUATIONS, HARMONIC ANALYZERS

Distribution Statement : APPROVED FOR PUBLIC RELEASE