A. I. Dvirnyi, V. I. Slyn'ko, “On stability in nonlinear approximation of systems of impulsive differential equations”, Avtomat. i Telemekh., 2014, Issue 11,Pages <nobr>3

This article is cited in 1 paper

Nonlinear Systems

On stability in nonlinear approximation of systems of impulsive differential equations

A. I. Dvirnyi^a, V. I. Slyn'ko^b

^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.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 10.03.2013