Email this article Stability of equilibria of discrete-time systems in terms of invariant sets
- Authors: Kanatnikov A.N.1,2
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Affiliations:
- Bauman Moscow State Technical University
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Issue: Vol 53, No 11 (2017)
- Pages: 1406-1412
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154612
- DOI: https://doi.org/10.1134/S0012266117110027
- ID: 154612
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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.
About the authors
A. N. Kanatnikov
Bauman Moscow State Technical University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Author for correspondence.
Email: skipper@bmstu.ru
Russian Federation, Moscow, 105005; Moscow, 119333
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