An evergreen benchmark in absolute stability - the gyroscopic pendulum I: The Aizerman problem
نویسنده
چکیده
It has been established by now that the problem of the absolute stability originates from a paper of B.V. Bulgakov published in 1942. The engineering application generating the problem was the so called gyroscopic pendulum, with various applications in stabilization of ships, aircrafts or armored cars. Even if nowadays the technical implementation of this device might be completely different, the dynamics is essentially unchanged. For this reason, it became in the next decades a genuine benchmark in the absolute stability. In this paper there are considered stability and oscillations of the gyroscopic pendulum based on both achievements of the absolute stability the Liapunov function and the frequency domain inequalities.
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