Stability in the process with lag of interaction between mining and processing industries
Optimization and Control
2017-06-20 v1
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.
Cite
@article{arxiv.1706.06010,
title = {Stability in the process with lag of interaction between mining and processing industries},
author = {A. I. Kirjanen and O. A. Malafeyev and N. D. Redinskikh},
journal= {arXiv preprint arXiv:1706.06010},
year = {2017}
}