Accession Number : AD0002209


Title :   DIFFERENTIAL EQUATIONS WITH A DISCONTINUOUS FORCING TERM


Corporate Author : STEVENS INST OF TECH HOBOKEN NJ EXPERIMENTAL TOWING TANK


Personal Author(s) : BUSHAW, DONALD W


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/002209.pdf


Report Date : Jan 1953


Pagination or Media Count : 90


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 = Df(x,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.


Descriptors :   *DIFFERENTIAL EQUATIONS , GRAPHS , SERVOMECHANISMS


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE