Email this article On Stability of Linear Systems with Impulsive Action at the Matrix
- Authors: Zhelonkina N.I.1, Sesekin A.N.1,2
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Affiliations:
- N. N. Krasovsky Institute of Mathematics and Mechanics of the Ural Branch of the RAS
- Ural Federal University named after the first President of Russia B. N. Yeltsin
- Issue: Vol 230, No 5 (2018)
- Pages: 673-676
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240793
- DOI: https://doi.org/10.1007/s10958-018-3767-3
- ID: 240793
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Abstract
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.
About the authors
N. I. Zhelonkina
N. N. Krasovsky Institute of Mathematics and Mechanics of the Ural Branch of the RAS
Author for correspondence.
Email: 312115@mail.ru
Russian Federation, Yekaterinburg
A. N. Sesekin
N. N. Krasovsky Institute of Mathematics and Mechanics of the Ural Branch of the RAS; Ural Federal University named after the first President of Russia B. N. Yeltsin
Email: 312115@mail.ru
Russian Federation, Yekaterinburg; Yekaterinburg
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