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Partial-equilibrium positions of nonlinear dynamic systems: Their stability and stability with respect to some of variables

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References

  1. V. V. Rumyantsev, Vestn. Mosk. Univ., Ser. Mat. Mekh. Fiz. Astron. Khim., No. 4, 9 (1957).

  2. C. Corduneanu, Rev. Roum. Math. Pures Appl. 9(3), 229 (1964).

    MathSciNet  MATH  Google Scholar 

  3. A. Halanay, Differential Equations: Stability, Oscillations, Time-Lags (Academic, New York, 1966).

    Google Scholar 

  4. K. Peiffer and N. Rouche, J. Mec. 8(2), 323 (1969).

    MathSciNet  Google Scholar 

  5. V. V. Rumyantsev and A. S. Oziraner, Stability and Stabilization of Motion Related with Respect to Some of Variables (Nauka, Moscow, 1987).

    Google Scholar 

  6. L. Hatvani, Alkalm. Mat. Lap. 15(1/2), 1 (1990/1991).

    MathSciNet  Google Scholar 

  7. A. S. Andreev, Prikl. Mat. Mekh. 54(4), 539 (1991).

    Google Scholar 

  8. V. I. Vorotnikov, Avtom. Telemekh. 54(3), 3 (1993).

    MathSciNet  MATH  Google Scholar 

  9. M. M. Khapaev, Averaging in Stability Theory (Kluwer, Dordrecht, 1993).

    Google Scholar 

  10. V. I. Vorotnikov, Partial Stability and Control (Birkhauser, Boston, 1998).

    Google Scholar 

  11. A. L. Fradkov, I. V. Miroshnik, and V. O. Nikiforov, Nonlinear and Adaptive Control of Complex Systems (Kluwer, Dordrecht, 1999).

    Google Scholar 

  12. V. I. Vorotnikov and V. V. Rumyantsev, Stability and Control in Some Coordinates of the Phase Vector of Dynamic Systems: Theory, Methods, and Applications (Nauchnyi Mir, Moscow, 2001).

    Google Scholar 

  13. V. I. Vorotnikov, Dokl. Akad. Nauk 384(1), 47 (2002).

    MathSciNet  Google Scholar 

  14. A. N. Michel, A. P. Molchanov, and Y. Sun, Nonlinear Anal.: TMA 52(4), 1295 (2003).

    Article  MathSciNet  Google Scholar 

  15. E. D. Sontag and Y. Wang, Syst. Control. Lett. 38(4/5), 235 (1999).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Nizhni Tagil Technological Institute, Ural State Technical University, Nizhni Tagil, 622031, Russia

    V. I. Vorotnikov

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  1. V. I. Vorotnikov
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Translated from Doklady Akademii Nauk, Vol. 389, No. 3, 2003, pp. 332–337.

Original Russian Text Copyright © 2003 by Vorotnikov.

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Vorotnikov, V.I. Partial-equilibrium positions of nonlinear dynamic systems: Their stability and stability with respect to some of variables. Dokl. Phys. 48, 151–155 (2003). https://doi.org/10.1134/1.1565623

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