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Localization of invariant compact sets in differential inclusions

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Abstract

The functional method of localization of invariant compact sets, which was earlier suggested for continuous and discrete systems, is generalized to differential inclusions. This method is applied to discontinuous systems of differential equations and systems of differential equations with uncertainty, treated as differential inclusions.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russia

    A. N. Kanatnikov

  2. Institute for Systems Analysis of Russian Academy of Sciences, Moscow, Russia

    A. N. Kanatnikov

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  1. A. N. Kanatnikov
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Correspondence to A. N. Kanatnikov.

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Original Russian Text © A.N. Kanatnikov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 11, pp. 1433–1439.

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Kanatnikov, A.N. Localization of invariant compact sets in differential inclusions. Diff Equat 51, 1425–1431 (2015). https://doi.org/10.1134/S0012266115110038

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  • DOI: https://doi.org/10.1134/S0012266115110038

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