On the Exponential Stability of a Trivial Torus for One Class of Nonlinear Impulsive Systems


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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.

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O. Kapustyan

Shevchenko Kyiv National University

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Email: alexkap@univ.kiev.ua
乌克兰, Volodymyrs’ka Str., 64, Kyiv, 01033

F. Asrorov

Shevchenko Kyiv National University

Email: alexkap@univ.kiev.ua
乌克兰, Volodymyrs’ka Str., 64, Kyiv, 01033

Yu. Perestyuk

Shevchenko Kyiv National University

Email: alexkap@univ.kiev.ua
乌克兰, Volodymyrs’ka Str., 64, Kyiv, 01033

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