Skip to main content
Log in

Some generalizations of Lyapunov's second method

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. D. Bushaw, “A stability criterion for general systems,” Mathematical Systems Theory,1, No. 1 (1967).

  2. P. Habets and K. Peiffer, “Classification of stability-like concepts and their study using Lyapunov functions,” Journ. Math. Anal. and Appl.,43, No. 2 (1973).

  3. V. I. Zubov, The Methods of A. M. Lyapunov and Their Applications [in Russian], Izd. LGU, Leningrad (1957).

    Google Scholar 

  4. V. M. Matrosov and L. Yu. Anapol'skii, “The comparison method in process analysis,” Second Chetaev Conference on Analytic Mechanics, Stability of Motion, and Optimal Control (Abstracts of Reports), Kazan' (1972).

  5. P. Seibert, “A unified theory of Liapunov stability,” Funkcialaj Ekvacioj,15, No. 3 (1972).

  6. P. M. Salzberg and P. Seibert, “A necessary and sufficient condition for the existence of a Liapunov function,” Funkcialaj Ekvacioj,16, No. 2 (1973).

  7. N. Bourbaki, General Topology, Fundamental Structures, Hermann, Paris (1966).

    Google Scholar 

  8. A. V. Movchan, “On the direct method of Lyapunov in problems of stability of elastic systems,” Prikl. Mat. Mekhan.,23, No. 3 (1959).

  9. B. Z. Vulikh, Introduction to the Theory of Semiordered Spaces [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 287–271, March–April, 1976.

In conclusion the authors express their sincere gratitude to A. N. Sharkovskii for his assistance and useful advice.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khusainov, D.Y., Tsitritskii, O.E. Some generalizations of Lyapunov's second method. Ukr Math J 28, 211–214 (1976). https://doi.org/10.1007/BF01085915

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085915

Navigation