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Elements of the Theory of Stability of Hybrid Systems (Review)

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International Applied Mechanics Aims and scope

The sufficient conditions for different types of stability of three classes of hybrid systems modeled by dynamic equations on a time scale, impulsive hereditary systems, and equations in the Banach space are discussed. Some general results are illustrated by examples and applications in mechanics and theory of neural networks

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  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    A. A. Martynyuk

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 3, pp. 3–66, May–June 2015.

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Martynyuk, A.A. Elements of the Theory of Stability of Hybrid Systems (Review). Int Appl Mech 51, 243–302 (2015). https://doi.org/10.1007/s10778-015-0689-3

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