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Settling time in a linear dynamic system with bounded external disturbances

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Abstract

The article deals with the problem of estimating the settling time for a linear dynamic system subjected to the action of nonrandom bounded external disturbances. The suggested approach is based on the method of invariant ellipsoids and the technique of linear matrix inequalities. Both the continuous and the discrete version of the problem are considered. As an example the problem of control of a two-mass system is investigated.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    M. V. Khlebnikov

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  1. M. V. Khlebnikov
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Original Russian Text © M.V. Khlebnikov, 2012, published in Avtomatika i Telemekhanika, 2012, No. 6, pp. 3–17.

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Khlebnikov, M.V. Settling time in a linear dynamic system with bounded external disturbances. Autom Remote Control 73, 937–948 (2012). https://doi.org/10.1134/S000511791206001X

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  • DOI: https://doi.org/10.1134/S000511791206001X

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