An evergreen benchmark in absolute stability-the gyroscopic pendulum I : The Aizerman problem

@inproceedings{Rasvan2011AnEB,
  title={An evergreen benchmark in absolute stability-the gyroscopic pendulum I : The Aizerman problem},
  author={Vladimir Rasvan},
  year={2011}
}
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… CONTINUE READING

From This Paper

Topics from this paper.
1 Citations
12 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Stability of Nonlinear Control Systems (Russian original edition 1955, second revised 1962)

  • A. M. Letov
  • 1961
Highly Influential
10 Excerpts

Self sustained oscillations of the controlled systems (in russian)

  • B. V. Bulgakov
  • Prikl. Mat. Mekh.,
  • 1943
Highly Influential
8 Excerpts

Hyperstability of Control Systems

  • V. M. Popov
  • Editura Academiei & Springer-Verlag, Bucharest…
  • 1973
Highly Influential
8 Excerpts

Oscillations (in Russian)

  • B. V. Bulgakov
  • Gostekhizdat, Moscow, 1st edition,
  • 1954
Highly Influential
4 Excerpts

Some control theory problems for the case of the nonlinear characteristics (in russian)

  • B. V. Bulgakov
  • Prikl. Mat. Mekh.,
  • 1946
Highly Influential
4 Excerpts

On the problem of kalman (in russian)

  • N. E. Barabanov
  • Sib. Mat. J.,
  • 1988
2 Excerpts

Stability, controllability, observability (in Russian)

  • A. A. Voronov
  • Nauka Publ. House, Moscow, 1st edition,
  • 1979
1 Excerpt

Some problems concerning the theory of stability in the large (in Russian)

  • V. A. Pliss
  • Leningrad Univ. Publ. House, Leningrad,
  • 1958
2 Excerpts

On a problem on the stability of dynamical systems in the large (in russian)

  • M. A. Aizerman
  • Usp. Mat. Nauk,
  • 1949
2 Excerpts

On convergence of the control process under large deviations of the initial conditions (in russian)

  • M. A. Aizerman
  • Avtom. i telemekh.,
  • 1946
3 Excerpts

Similar Papers

Loading similar papers…