Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 673–676 | Cite as

On Stability of Linear Systems with Impulsive Action at the Matrix

  • N. I. Zhelonkina
  • A. N. Sesekin


We discuss properties of stability and asymptotic stability of solutions to linear systems of differential equations with generalized actions in matrices of systems. We obtain sufficient conditions that guarantee the stability and asymptotic stability of solutions to these system. A distinctive feature of systems considered is the fact that the right-hand sides of systems contain the ill-posed operation of multiplication of discontinuous functions by generalized functions.

Keywords and phrases

differential equation impulsive action stability asymptotic stability 

AMS Subject Classification



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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.N. N. Krasovsky Institute of Mathematics and Mechanics of the Ural Branch of the RASYekaterinburgRussia
  2. 2.Ural Federal University named after the first President of Russia B. N. YeltsinYekaterinburgRussia

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