Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/92440
Title: On the stability of tubes of discontinuous solutions of bilinear systems with delay
Authors: Sesekin, A. N.
Zhelonkina, N. I.
Issue Date: 2020
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.
Keywords: BLOOD PERFUSION
NEURO-ELECTROSTIMULATION
PENNES EQUATION
THERMAL IMAGING
‘SYMPATHOCOR-01’
BIOMEDICAL ENGINEERING
BIOMIMETICS
BLOOD
HEMODYNAMICS
SIGNAL PROCESSING
CAPILLARY BLOOD FLOW
ELECTROSTIMULATION
PERFUSION RATE
SKIN TEMPERATURES
SURFACE TEMPERATURES
SYMPATHETIC NERVOUS SYSTEMS
TEMPERATURE DECREASE
THERMOGRAPHIC CAMERAS
BLOOD VESSELS
URI: http://hdl.handle.net/10995/92440
Access: info:eu-repo/semantics/openAccess
RSCI ID: 42585243
SCOPUS ID: 85089581408
WOS ID: 000520538100007
PURE ID: 12451697
ISSN: 19977670
DOI: 10.26516/1997-7670.2020.31.96
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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