On the Exponential Stability of a Trivial Torus for One Class of Nonlinear Impulsive Systems
- Autores: Kapustyan O.V.1, Asrorov F.A.1, Perestyuk Y.M.1
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Afiliações:
- Shevchenko Kyiv National University
- Edição: Volume 238, Nº 3 (2019)
- Páginas: 263-270
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242514
- DOI: https://doi.org/10.1007/s10958-019-04234-9
- ID: 242514
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Resumo
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.
Sobre autores
O. Kapustyan
Shevchenko Kyiv National University
Autor responsável pela correspondência
Email: alexkap@univ.kiev.ua
Ucrânia, Volodymyrs’ka Str., 64, Kyiv, 01033
F. Asrorov
Shevchenko Kyiv National University
Email: alexkap@univ.kiev.ua
Ucrânia, Volodymyrs’ka Str., 64, Kyiv, 01033
Yu. Perestyuk
Shevchenko Kyiv National University
Email: alexkap@univ.kiev.ua
Ucrânia, Volodymyrs’ka Str., 64, Kyiv, 01033
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