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Hyperstability, oscillations and optimal stabilization

  • A. Halanay
Conference paper
  • 270 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 144)

Keywords

English Transl Asymptotic Stability Integral Inequality Absolute Stability Nonlinear Control System 
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References

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    Lur'e, A. I., On Some Nonlinear Problems in the Theory of Automatic Control, H. M. Stationery Office, London, 1951, (Russian, English transl.).zbMATHGoogle Scholar
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    Letov, A. M., Stability of Nonlinear Controls, Princeton Univ. Press, Princeton, New Jersey, 1961: 2nd ed., 1963, (Russian, English transl.).zbMATHGoogle Scholar
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    Lefschetz, S., Stability of Nonlinear Control Systems, Academic Press, 1965.Google Scholar
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    Aizerman, M. A. and Gantmacher, F. R., Absolute Stability of Control Systems, Holden-Day, San Francisco, 1963.Google Scholar
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    Halanay, A., Differential Equations, Vol. 23, Academic Press, New York, 1966.Google Scholar
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    Popov, V. M., Non criterii de stabilitate pentru sistemele automate neliniare, Studii si cercetari de energetica anul X, nr. 1, 1960.Google Scholar
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    Popov, V. M., Hiperstabilitatea sistemelor automate, Editura Academiei Republicii Socialist Romania, 1966Google Scholar
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    Yakubovich, V. A.: The Matrix-Inequality Method in the Theory of the Stability of Nonlinear Control Systems, I. The Absolute Stability of Forced Vibrations, (Avtomatika i Telemekhanika, Vol. 25, No. 7 pp. 1017–1029, July, 1964, Russian, English transl.)MathSciNetGoogle Scholar
  9. 9.
    Barbalat, I and Halanay A., Un Problème de Vibrations Nonlinéaires, Colloquium Mathematicum XVIII, 1967-107–110.Google Scholar

Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • A. Halanay

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