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Construction of Lyapunov functions for a class of systems of nonlinear differential equations

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References

  1. Barbashin, E.A., Tr. I Mezhdunar. kongressa IFAK (Proc. I Int. Cong. IFAC), Moscow: Nauka, 1961, pp. 742–751.

    Google Scholar 

  2. Barbashin, E.A., Funktsii Lyapunova (Lyapunov Functions), Moscow, 1970.

  3. Voronov, A.A., Ustoichivost’, upravlyaemost’, nablyudaemost’ (Stability, Controllability, Observability), Moscow: Nauka, 1979.

    Google Scholar 

  4. Lur’e, A.I., Nekotorye nelineinye zadachi teorii avtomaticheskogo regulirovaniya (Some Nonlinear Problems of Automated Regulation Theory), Moscow; Leningrad: GITTL, 1951.

    Google Scholar 

  5. Persidskii, S.K., Avtomat. i Telemekh., 1969, no. 12, pp. 5–11.

  6. Zubov, V.I., Dokl. Akad. Nauk, 1996, vol. 346, no. 3, pp. 295–296.

    MathSciNet  Google Scholar 

  7. Gruiich, L.T., Martynyuk, A.A., and Ribbens-Pavella, M., Ustoichivost’ krupnomasshtabnykh sistem pri strukturnykh i singulyarnykh vozmushcheniyakh (Stability of Large-Scale Systems Under Structural and Singular Perturbations), Kiev: Naukova Dumka, 1984.

    Google Scholar 

  8. Zorich, V.A., Matematicheskii analiz (Mathematical Analysis), Moscow: Nauka, 1981, part 1.

    Google Scholar 

  9. Aleksandrov, A.Yu., Differ. Uravn., 2000, vol. 36, no. 7, pp. 993–995.

    MathSciNet  Google Scholar 

  10. Zubov, V.I., Ustoichivost’ dvizheniya (Stability of Motion), Moscow: Vyssh. Shkola, 1973.

    Google Scholar 

  11. Aleksandrov, A.Yu., Mat. Zametki, 1998, vol. 63, no. 1, pp. 3–8.

    MATH  MathSciNet  Google Scholar 

  12. Platonov, A.V., Differ. Uravn., 1999, vol. 35, no. 12, pp. 1707–1708.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. Yu. Aleksandrov & A. V. Platonov

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  1. A. Yu. Aleksandrov
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  2. A. V. Platonov
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Original Russian Text © A.Yu. Aleksandrov, A.V. Platonov, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 2, pp. 267–270.

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Aleksandrov, A.Y., Platonov, A.V. Construction of Lyapunov functions for a class of systems of nonlinear differential equations. Diff Equat 43, 276–279 (2007). https://doi.org/10.1134/S0012266107020139

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