Email this article On the Exponential Stability of a Trivial Torus for One Class of Nonlinear Impulsive Systems
- Authors: Kapustyan O.V.1, Asrorov F.A.1, Perestyuk Y.M.1
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Affiliations:
- Shevchenko Kyiv National University
- Issue: Vol 238, No 3 (2019)
- Pages: 263-270
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242514
- DOI: https://doi.org/10.1007/s10958-019-04234-9
- ID: 242514
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Abstract
We prove the exponential stability of a trivial torus for a class of nonlinear extensions of dynamical systems on a torus. The obtained results can be applied to the study of stability of toroidal sets for a certain class of impulsive dynamical systems.
About the authors
O. V. Kapustyan
Shevchenko Kyiv National University
Author for correspondence.
Email: alexkap@univ.kiev.ua
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01033
F. A. Asrorov
Shevchenko Kyiv National University
Email: alexkap@univ.kiev.ua
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01033
Yu. M. Perestyuk
Shevchenko Kyiv National University
Email: alexkap@univ.kiev.ua
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01033
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