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Stability of motion of nonlinear regulated systems with many nonlinearities

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Literature cited

  1. A. I. Lur'e, Some Nonlinear Problems of Automatic Regulation [in Russian], Gostekhizdat, Moscow (1951).

    Google Scholar 

  2. A. M. Letov, Stability of Nonlinear Regulated Systems [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  3. M. A. Aizerman and F. R. Gantmakher, Absolute Stability of Nonlinear Regulated Systems [in Russian], Izd-vo Akad. Nauk SSSR, Moscow (1963).

    Google Scholar 

  4. V. M. Popov, Nouveaux Critériums de Stabilité pour les Systèmes Automatiques Non Linéaires, Rev. DÉlectrotechnique et d'Énergétique,5, No. 1 (1960)

  5. F. R. Gantmakher and V. A. Yakubovich, Absolute Stability of Nonlinear Regulated Systems, Proceedings of the Second All-Union Congress on Theoretical and Applied Mechanics [in Russian], No. 1, Moscow (1965).

  6. V. A. Yakubovich, Absolute Stability of Nonlinear Regulated Systems in Critical Cases, Avtomat. i Telemekhan.,25, No. 5 (1964).

  7. V. A. Yakubovich, Frequency Conditions of the Absolute Stability of Steady-State Regimes and Forced Oscillations of Nonlinear Regulated Systems, Proceedings of the International Conference on Multivariate and Discrete Systems of Automatic Regulation [in Russian], Prague (1965).

  8. V. A. Yakubovich, Absolute Stability of Forced Oscillations, Avtomat. i Telemekhan.,25, No. 7 (1964).

  9. A. F. Filippov, Differential Equations with a Discontinuous Right Half, Matem. Sbornik,51, No. 1 (1960).

  10. N. G. Chetaev, Stability of Motion [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  11. S. Lefschetz, Geometric Theory of Differential Equations [Russian translation], IL, Moscow (1961).

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the UkrSSR, USSR

    Yu. G. Ostapov

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  1. Yu. G. Ostapov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 19, No. 3, pp. 53–61, May–June, 1967.

In conclusion I wish to thank M. A. Aizerman and V. A. Yakubovich sincerely for discussing and criticizing the paper.

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Ostapov, Y.G. Stability of motion of nonlinear regulated systems with many nonlinearities. Ukr Math J 19, 290–297 (1967). https://doi.org/10.1007/BF01087005

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  • DOI: https://doi.org/10.1007/BF01087005

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