Soviet Applied Mechanics

, Volume 4, Issue 11, pp 105–108 | Cite as

Contribution to Chetaev's theory of the stability of unsteady motion over a given interval of time

  • A. A. Martynyuk
  • N. F. Kirichenko
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Keywords

Unsteady Motion 
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Literature Cited

  1. 1.
    E. A. Barbashin and N. N. Krasovskii, “Stability of motion in the whole,” Dokl. AN SSSR, Vol. 36, No. 3 (1962).Google Scholar
  2. 2.
    A. D. Gorbunov, “Conditions for the asymptotic stability of the zero solution of a system of ordinary linear homogeneous differential equations,” Vestnik MGU, Vol. 21, No. 1 (1957).Google Scholar
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    V. I. Zubov, Mathematical Methods of Studying Automatic Control Systems [in Russian], Sudpromgiz, Leningrad (1959).Google Scholar
  4. 4.
    N. N. Krasovskii, “Contribution to the theory of Lyapunov's second method for studying the stability of motion,” Dokl. AN SSSR, Vol. 109, No. 3 (1956).Google Scholar
  5. 5.
    A. A. Lebedev, “Stability of motion over a finite interval of time,” Prikl. Matem. i Mekh., Vol. 18, No. 1 (1954).Google Scholar
  6. 6.
    A. A. Martynyuk, “Stability of a transient motion over a giventime interval,” Prikladnaya Mekhanika, Vol. 3, No. 6 (1967).Google Scholar
  7. 7.
    B. S. Razumikhin, “Evaluation of solutions of a system of differential equations of perturbed motion with variable coeffieients,” Prikl. Matem. i Mekh., Vol. 21, No. 1 (1957).Google Scholar
  8. 8.
    N. G. Chetaev, Stability of Motion [in Russian], GITTL, Moscow (1955).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • A. A. Martynyuk
  • N. F. Kirichenko

There are no affiliations available

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