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Stability of motion of quasiperiodic systems in critical cases

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International Applied Mechanics Aims and scope

A method of setting up a matrix-valued Lyapunov function for a system of differential equations with quasiperiodic coefficients is proposed. This function is used to establish asymptotic-stability conditions for some class of mechanical systems described by nonlinear systems of equations. The stability of motion of these systems in critical cases is analyzed

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Authors and Affiliations

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

    D. M. Lila

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  1. D. M. Lila
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Correspondence to D. M. Lila.

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Translated from Prikladnaya Mekhanika, Vol. 46, No. 2, pp. 125–137, January 2010.

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Lila, D.M. Stability of motion of quasiperiodic systems in critical cases. Int Appl Mech 46, 229–240 (2010). https://doi.org/10.1007/s10778-010-0302-8

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  • DOI: https://doi.org/10.1007/s10778-010-0302-8

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