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Stability of equilibria of discrete-time systems in terms of invariant sets

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Abstract

We suggest a new approach to the verification of the stability (or asymptotic stability) of the equilibria of time-invariant discrete-time systems based on stability and asymptotic stability criteria stated in terms of invariant sets. A set-theoretic method for the verification of the conditions in these criteria is presented.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, 105005, Russia

    A. N. Kanatnikov

  2. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333, Russia

    A. N. Kanatnikov

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

Additional information

Original Russian Text © A.N. Kanatnikov, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 11, pp. 1440–1446.

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Kanatnikov, A.N. Stability of equilibria of discrete-time systems in terms of invariant sets. Diff Equat 53, 1406–1412 (2017). https://doi.org/10.1134/S0012266117110027

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  • DOI: https://doi.org/10.1134/S0012266117110027

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