Answer Posted / anindita
The history of the Barkhausen Stability Criterion is an
unfortunate one. In 1921, during his study of feedback
oscillators, Barkhausen developed a ``formula for self-
excitation''
KF(jw)=1
where K is an amplifier gain factor and F(jw)is the
frequency dependence of the feedback loop. This equation
was originally intended for the determination of the
oscillation frequency for use in radio transmitters.
However, before conditionally-stable nonlinear systems were
understood, it was widely believed that only a single value
of K separated stable and unstable regions of behavior.
Thus, Barkhausen's Criterion was incorrectly used as a
stability criterion, especially in the German literature
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