A. I. Dvirnyi, V. I. Slyn'ko, “A counterpart of A. M. Molchanov's critical case for impulse systems”, Avtomat. i Telemekh., 2015, Issue 6,Pages <nobr>3

This article is cited in 4 papers

Linear Systems

A counterpart of A. M. Molchanov's critical case for impulse systems

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: We study a counterpart of A. M. Molchanov's critical case for systems of differential equations with impulsive action. Using the Matrosov–Vassilyev's comparison method, we derive sufficient Lyapunov's stability conditions. We show an example that illustrates our results.

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

Received: 28.12.2011