N. I. Zhelonkina, A. N. Sesekin, S. P. Sorokin, “On stability of linear systems with impulsive actions at the matrix of system and delay”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 1,Pages <nobr>40

This article is cited in 2 papers

MATHEMATICS

On stability of linear systems with impulsive actions at the matrix of system and delay

N. I. Zhelonkina^a, A. N. Sesekin^b, S. P. Sorokin^c

^a Ural Federal University, Ekaterinburg, Russia
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
^c Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

Abstract: The article devoted to the study of asymptotic stability properties of solutions of linear system of differential equations with generalized action in the matrix system and delay in the phase coordinates.

Keywords: differentials equation with delay, impulsive perturbation, stability.

UDC: 517.977

MSC: 34K40, 34K45

Received: 27.08.2010

DOI: 10.20537/vm110105