DIFFERENTIAL EQUATIONS WITH A DISCONTINUOUS FORCING TERM
STEVENS INST OF TECH HOBOKEN NJ EXPERIMENTAL TOWING TANK
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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.
- Numerical Mathematics