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Sufficient conditions of stability of systems with steadily acting perturbations

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Literature cited

  1. N. N. Krasovskii, “Sufficient conditions of stability of the solutions of a system of nonlinear differential equations,” Dokl. AN SSSR,9, No. 6 (1954).

  2. V. I. Zubov, “Sufficient conditions of stability of a nonlinear system of differential equations,” Prikl. Matem. Mekhan.,17, No. 4 (1953).

  3. N. N. Krasovskii, “Stability under large initial perturbations,” Prikl. Matem. Mekhan.,21, No. 3 (1957).

  4. E. A. Barbashin, “On the construction of Lyapunov's function,” Differentsial'nye Uravneniya,4, No. 12 (1968).

  5. A.A. Martynyuk, “A condition of stability of the solutions of a system of nonlinear differential equations,” Ukr. Matem. Zh.,23, No. 2 (1971).

  6. V. F. Zadorozhnyi, “A sufficient criterion of asymptotic stability of nonlinear systems,” Prikl. Mekhan.,4, No. 3 (1968).

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  8. A. A. Martynyuk and I. G. Kozubovskaya, “Stability of controlled motion with aftereffect along a given trajectory,” Differentsial'nye Uravneniya,6, No. 11 (1970).

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Authors and Affiliations

  1. Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR, USSR

    A. A. Martynyuk & I. G. Kozubovskaya

Authors
  1. A. A. Martynyuk
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  2. I. G. Kozubovskaya
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 3, pp. 405–410, May–June, 1971.

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Martynyuk, A.A., Kozubovskaya, I.G. Sufficient conditions of stability of systems with steadily acting perturbations. Ukr Math J 23, 345–349 (1971). https://doi.org/10.1007/BF01085361

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  • DOI: https://doi.org/10.1007/BF01085361

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