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Attraction Domains of Delay Systems: Construction by the Lyapunov Function Method

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Abstract

Description of attraction domains of delay systems is studied. Attraction domains are estimated by the Lyapunov functions method and a method of determining the required Lyapunov function.

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Authors and Affiliations

  1. Bauman State Technical University, Moscow, Russia

    A. V. Gorbunov

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

    V. A. Kamenetskii

Authors
  1. A. V. Gorbunov
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  2. V. A. Kamenetskii
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__________

Translated from Avtomatika i Telemekhanika, No. 10, 2005, pp. 42–53.

Original Russian Text Copyright © 2005 by Gorbunov, Kamenetskii.

This work was supported by the Russian Foundation for Basic Research, projects nos. 05-01-00840 and 04-01-00391, Council for Aid to Leading Scientific Schools, project no. Nsh-2094.2003, and Complex Programs of the Russian Academy of Sciences, project no. 19-1.5.

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Gorbunov, A.V., Kamenetskii, V.A. Attraction Domains of Delay Systems: Construction by the Lyapunov Function Method. Autom Remote Control 66, 1569–1579 (2005). https://doi.org/10.1007/s10513-005-0191-1

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