Please use this identifier to cite or link to this item:
|Title:||On the stability of tubes of discontinuous solutions of bilinear systems with delay|
|Authors:||Sesekin, A. N.|
Zhelonkina, N. I.
|Publisher:||Irkutsk State University|
|Citation:||Sesekin A. N. On the stability of tubes of discontinuous solutions of bilinear systems with delay / A. N. Sesekin, N. I. Zhelonkina. — DOI 10.26516/1997-7670.2020.31.96 // Bulletin of Irkutsk State University, Series Mathematics. — 2020. — Iss. 31. — P. 96-110.|
|Abstract:||The paper considers the stability property of tubes of discontinuous solutions of a bilinear system with a generalized action on the right-hand side and delay. A feature of the system under consideration is that a generalized (impulsive) effect is possible non-unique reaction of the system. As a result, the unique generalized action gives rise to a certain set of discontinuous solutions, which in the work will be called the tube of discontinuous solutions.The concept of stability of discontinuous solutions tubes is formalized. Two versions of sufficient conditions for asymptotic stability are obtained. In the first case, the stability of the system is ensured by the stability property of a homogeneous system without delay; in the second case, the stability property is ensured by the stability property of a homogeneous system with delay. These results generalized the similar results for systems without delay. © 2020 Irkutsk State University. All rights reserved.|
CAPILLARY BLOOD FLOW
SYMPATHETIC NERVOUS SYSTEMS
|Appears in Collections:||Научные публикации, проиндексированные в SCOPUS и WoS CC|
Files in This Item:
|10.26516-1997-7670.2020.31.96.pdf||401,28 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.