Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets
- Autores: Krishchenko A.1
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Afiliações:
- Bauman Moscow State Technical University
- Edição: Volume 94, Nº 1 (2016)
- Páginas: 365-368
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223950
- DOI: https://doi.org/10.1134/S1064562416040025
- ID: 223950
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Resumo
The asymptotic stability and global asymptotic stability of equilibria in autonomous systems of differential equations are analyzed. Conditions for asymptotic stability and global asymptotic stability in terms of compact invariant sets and positively invariant sets are proved. The functional method of localization of compact invariant sets is proposed for verifying the fulfillment of these conditions. Illustrative examples are given.
Sobre autores
A. Krishchenko
Bauman Moscow State Technical University
Autor responsável pela correspondência
Email: apkri@bmstu.ru
Rússia, Vtoraya Baumanskaya ul. 5, Moscow, 105005