Email this article Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets
- Authors: Krishchenko A.P.1
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Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 94, No 1 (2016)
- Pages: 365-368
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223950
- DOI: https://doi.org/10.1134/S1064562416040025
- ID: 223950
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Abstract
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.
About the authors
A. P. Krishchenko
Bauman Moscow State Technical University
Author for correspondence.
Email: apkri@bmstu.ru
Russian Federation, Vtoraya Baumanskaya ul. 5, Moscow, 105005
