Accession Number:

AD0002209

Title:

DIFFERENTIAL EQUATIONS WITH A DISCONTINUOUS FORCING TERM

Descriptive Note:

Corporate Author:

STEVENS INST OF TECH HOBOKEN NJ EXPERIMENTAL TOWING TANK

Personal Author(s):

Report Date:

1953-01-01

Pagination or Media Count:

90.0

Abstract:

A solution is given for the problem of finding a transition or switching curve in the phase plane for the expression mx cx kx Dfx,x so that solutions reach the zero state in a minimum time. The solution has applications in the design of servomechanisms and similar systems f is a discontinuous function which assumes only of - 1. The solution required the problem to be broken up into cases. Curves are included showing points in the xx phase plane at which f switches from 1 to -1 and vice versa.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE