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Developing industries in cooperative interaction : Equilibrium and stability in processes with lag. / Kirjanen, A. I.; Malafeyev, O. A.; Redinskikh, N. D.

в: Statistics, Optimization and Information Computing, Том 5, № 4, 2017, стр. 341-347.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{bae5d853ceea46528b2c59f6c5cdd491,
title = "Developing industries in cooperative interaction: Equilibrium and stability in processes with lag",
abstract = "A mathematical model of dynamic interaction between mining and processing industries is formalized and studied in the paper. The process of interaction is described by a system of two delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when both industries co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of second order. Time intervals between deliveries of raw materials which make it possible to preserve stable interaction between the two industries are found.",
keywords = "Coefficient criteria for asymptotic stability, Delay, Differential equations, Dynamic cooperative interaction, Mining and processing industries",
author = "Kirjanen, {A. I.} and Malafeyev, {O. A.} and Redinskikh, {N. D.}",
year = "2017",
doi = "10.19139/soic.v5i4.357",
language = "English",
volume = "5",
pages = "341--347",
journal = "Statistics, Optimization and Information Computing",
issn = "2311-004X",
publisher = "International Academic Press",
number = "4",

}

RIS

TY - JOUR

T1 - Developing industries in cooperative interaction

T2 - Equilibrium and stability in processes with lag

AU - Kirjanen, A. I.

AU - Malafeyev, O. A.

AU - Redinskikh, N. D.

PY - 2017

Y1 - 2017

N2 - A mathematical model of dynamic interaction between mining and processing industries is formalized and studied in the paper. The process of interaction is described by a system of two delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when both industries co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of second order. Time intervals between deliveries of raw materials which make it possible to preserve stable interaction between the two industries are found.

AB - A mathematical model of dynamic interaction between mining and processing industries is formalized and studied in the paper. The process of interaction is described by a system of two delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when both industries co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of second order. Time intervals between deliveries of raw materials which make it possible to preserve stable interaction between the two industries are found.

KW - Coefficient criteria for asymptotic stability

KW - Delay

KW - Differential equations

KW - Dynamic cooperative interaction

KW - Mining and processing industries

UR - http://www.scopus.com/inward/record.url?scp=85035805326&partnerID=8YFLogxK

U2 - 10.19139/soic.v5i4.357

DO - 10.19139/soic.v5i4.357

M3 - Article

AN - SCOPUS:85035805326

VL - 5

SP - 341

EP - 347

JO - Statistics, Optimization and Information Computing

JF - Statistics, Optimization and Information Computing

SN - 2311-004X

IS - 4

ER -

ID: 10851580