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Quantization of Lyapunov functions

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Ukrainian Mathematical Journal Aims and scope

For a state of equilibrium of an autonomous system of differential equations, we propose discrete conditions for stability and asymptotic stability in the sense of Lyapunov.

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References

  1. N. Rouche, P. Habets, and M. Laloy, Stability Theory by Liapunov’s Direct Method, Springer, New York (1977).

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  2. Yu. V. Sharko, “Discrete conditions for Lyapunov stability,” Zb. Prats’ Inst. Mat. NAN Ukr., 2, No. 3, 279–288 (2005).

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  3. M. W. Hirsch, Differential Topology, Springer, New York (1976).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    Yu. V. Sharko

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  1. Yu. V. Sharko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 9, pp. 1294–1296, September, 2010.

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Sharko, Y.V. Quantization of Lyapunov functions. Ukr Math J 62, 1502–1505 (2011). https://doi.org/10.1007/s11253-011-0445-8

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  • DOI: https://doi.org/10.1007/s11253-011-0445-8

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