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Avtomatika i Telemekhanika, 2014, Issue 11, Pages 3–18
(Mi at14139)
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This article is cited in 1 scientific paper (total in 1 paper)
Nonlinear Systems
On stability in nonlinear approximation of systems of impulsive differential equations
A. I. Dvirnyia, V. I. Slyn'kob a UiT The Arctic University of Norway, Tromsö, Norway
b Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine
Abstract:
Theorems on existence of the Lyapunov functions for homogeneous systems of impulsive differential equations were proved. The results obtained were applied to studying stability in nonlinear approximation of the critical equilibria of the nonlinear systems of impulsive differential equations. An example of a second-order system was given.
Citation:
A. I. Dvirnyi, V. I. Slyn'ko, “On stability in nonlinear approximation of systems of impulsive differential equations”, Avtomat. i Telemekh., 2014, no. 11, 3–18; Autom. Remote Control, 75:11 (2014), 1893–1905
Linking options:
https://www.mathnet.ru/eng/at14139 https://www.mathnet.ru/eng/at/y2014/i11/p3
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