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Stabilization of the Motion of a Nonlinear System with Interval Initial Conditions

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International Applied Mechanics Aims and scope

The motion of a control system with many controls is studied. It is described by a nonlinear system of differential equations with interval initial conditions. To estimate the interval norm of the motion of the system, nonlinear integral inequalities are used. The estimate is used to establish the conditions stabilizing the motion of the system. A mechanical system consisting of two coupled simple pendulums controlled by forces is considered as an example

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Authors and Affiliations

  1. The Bohdan Khmelnytsky National University of Cherkasy, 81 Shevchenko Av., Cherkassy, Ukraine, 18000

    E. A. Babenko

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

    À. À. Martynuyk

Authors
  1. E. A. Babenko
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  2. À. À. Martynuyk
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Correspondence to E. A. Babenko.

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Translated from Prikladnaya Mekhanika, Vol. 52, No. 2, pp. 99–110, March–April, 2016.

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Babenko, E.A., Martynuyk, À.À. Stabilization of the Motion of a Nonlinear System with Interval Initial Conditions. Int Appl Mech 52, 182–191 (2016). https://doi.org/10.1007/s10778-016-0746-6

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  • DOI: https://doi.org/10.1007/s10778-016-0746-6

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