Stability of equilibria of discrete-time systems in terms of invariant sets
- Autores: Kanatnikov A.N.1,2
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Afiliações:
- Bauman Moscow State Technical University
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Edição: Volume 53, Nº 11 (2017)
- Páginas: 1406-1412
- Seção: 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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Resumo
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.
Sobre autores
A. Kanatnikov
Bauman Moscow State Technical University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: skipper@bmstu.ru
Rússia, Moscow, 105005; Moscow, 119333
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