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On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals

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Abstract

We consider the questions of attraction for autonomous functional differential inclusions using invariantly differentiable Lyapunov functionals of constant sign and a collection of auxiliary functionals enabling us to determine more exactly an attractor in the phase space of continuous functions.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, Irkutsk, Russia

    I. A. Finogenko

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  1. I. A. Finogenko
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Correspondence to I. A. Finogenko.

Additional information

Original Russian Text Copyright © 2012 Finogenko I. A.

The author was supported by the Russian Foundation for Basic Research (Grant 10-01-00132-a) and the Integration Grant (No. 85) and the Interdisciplinary Project (No. 107) of the Siberian Division of the Russian Academy of Sciences.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 1, pp. 213–222, January–February, 2012.

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Finogenko, I.A. On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals. Sib Math J 53, 174–181 (2012). https://doi.org/10.1134/S0037446612010156

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  • DOI: https://doi.org/10.1134/S0037446612010156

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